A state trooper is traveling down the interstate at 20 m/s. He sees a speeder traveling at 50 m/s approaching from behind. At the moment the speeder passes the trooper, the trooper hits the gas and gives chase at a constant acceleration of 2.5 m/s^2.

Required:
a. Assuming that the speeder continues at 60 m/s , how long will it take the trooper to catch up to the speeder?
b. How far down the highway will the trooper travel before catching up to the speeder?

Answers

Answer 1

Answer:

Explanation:

From the given information;

Let assume that the distance travelled by the speeder prior to the time the trooper catches with it to be = d

the time interval to be = t

Then, the speeder speed = distance/time

Making distance the subject; then:

distance (d) = speed × time

d = (50 m/s)t

d = 50 t --- (1)

Now, for the trooper; Using the equation of motion:

[tex]d = ut + \dfrac{1}{2}at^2[/tex]

[tex]d = (20)t+\dfrac{1}{2}(2.5)t^2[/tex]

d = 20t + 1.25t²

Replace the value of d in (1) to the above equation, we have:

50 t = 20 t + 1.25t²

50t - 20t = 1.25t²

30t = 1.25t²

30 = 1.25t

[tex]t = \dfrac{30}{1.25}[/tex]

t = 24 seconds

From (1), the distance far down the highway the trooper will travel prior to the time it catches up with the speeder is:

= 50t

= 50(24)

= 1200 seconds


Related Questions

a spring has a spring constant of 330 n/m. how far is the spring compressed when 150 newtons of force are used?
a. 0.0014 meters
b. 0.45 meters
c. 2.2 meters
d. 5.0 meters
show your work.​

Answers

Answer:

b. 0.45 meters

Explanation:

Given the following data;

Spring constant, k = 330 N/m

Force = 150 N

To find the extension of the spring;

Mathematically, the force exerted on a spring is given by the formula;

Force = spring constant * extension

Substituting into the formula, we have;

150 = 330 * extension

Extension, e = 150/330

Extension, e = 0.45 meters

If the mass of the slider increases does the coefficient of static friction also increase?explain​

Answers

No, it doesn't. Weight (sometimes) indirectly affects the frictional force but not the coefficient. The frictional force is proportional the normal reaction force which often (but not always) is equal to the weight. The constant of proportionality is the coefficient of friction or its reciprocal (depending on which side of the equation the constant is on). Situations when weight and normal reaction force are unequal when they are unequal. Normal reaction force is just a force to maintain the equilibrium of the body if it can.

No, the mass of the slider increases does not increase the coefficient of static friction.

What is static friction?

In static friction, the frictional force resists force that is applied to an object, and the object remains at rest until the force of static friction is overcome.

As the mass increases, the static friction increases. This is because the normal force increases as the mass increases.

Also, the coefficient of friction doesn't depend on the mass of the object.

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We know the mass and luminosity of the star. We also know the mass of the spacecraft and the area of its stellar sail. We must find the net force exerted on the spacecraft, as well as the direction of its acceleration. We are asked to find both the net force exerted on the spacecraft and the direction of the acceleration. Which principle is best used to find the direction of the acceleration once the net force has been found

Answers

Answer:

Newton's principle of force, the variation of the momentum and the acceleration have the same direction

Explanation:

To find the force exerted by the star on the sail of the ship, the expression of the momentum of the radiation is used, which in the case of a total reflection

            p = [tex]\frac{2U}{c}[/tex]

where p is the momentum and U the incident energy and c the speed of light.

The strength I could get from

            F = [tex]\frac{dp}{dt}[/tex]

the direction of the acceleration is the direction of the momentum, therefore the principle to find the acceleration of is Newton's principle of force, the variation of the momentum and the acceleration have the same direction.

The diagram shows two
charged objects, X and Y.
Based on the field lines, what are the charges of the
objects?
X: positive
Y: negative
O X: negative
Y: positive
O x: negative
Y: negative
O x: positive
Y: positive

Answers

Answer:

X: positive

Y: positive

Explanation:

The electrical field lines have a specified direction based upon the sign of the charge. The electrical field lines have a direction coming out of the charge if the sign of the charge is positive. While the electrical field lines have a direction going inside the charge if the sign of the charge of negative.

It can be clearly seen in the diagram that the electric field lines are coming out of both charges. Therefore, both the charges are positive.

Hence, the correct option is:

X: positive

Y: positive

if the reading of a mercury barometer is 75.58cm at the base of a mountain and 66.37cm at the summit,what is the height of the mountain? (density of mercury= 13600kg/m³, average density of air=1.25kg/m³​

Answers

Answer:

Explanation:

 What are the benefits of 3D design and 3D printing software?

The height of the mountain  is 1002.048 m.

What is pressure?

The perpendicular force per unit area, or the stress at a point within a confined fluid, is referred to as pressure in the physical sciences.

Atmospheric pressure is the force of the atmosphere pressing down on each square meter of Earth's surface. Pascals are used to express pressure in SI units; one pascal is equivalent to one newton per square meter.

Given parameters:

at the base of a mountain, the reading of a mercury barometer is = 75.58cm = 0.7558 m.

at the summit  of a mountain, the reading of a mercury barometer is = 66.37cm = 0.6637 m.

Let the height of the mountain = h.

Then,

h × density of air × g = ( 0.7558 - 0.6637) m × density of mercury × g

⇒ h × 1.25kg/m³​ = 0.0921 m × 13600kg/m³

⇒ h = 1002.048 m.

Hence,  the height of the mountain  is 1002.048 m.

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A 1.6-lb collar is attached to a spring and slides without friction along a circular rod in a vertical plane. The spring has an unstretched length of 6 in. The collar is released from being held at A, and it passes ponit B with a speed of 16.0 ft/s. Determine the spring constant. The circular rod is kept from moving.

Answers

Answer:

k = 652 lb/ft

Explanation:

Given :

Weight of the collar = 1.6 lb

The upstretched length of the spring = 6 in

Speed  = 16 ft/s

PA = 8 + 10

     = 18 inch

Let the initial elongation be [tex]$\Delta x_i$[/tex]

∴ [tex]$\Delta x_i$[/tex] = 18 - 6

         = 12 inch = 1 foot

[tex]$PB = \sqrt{13^2+5^2}$[/tex]

      = 13.925 inch

Final elongation in the spring

[tex]$\Delta x_B = 7.928 $[/tex] inch = 0.66 feet

Applying the conservation of the mechanical energy between A and B is

[tex]$K.E_A+P.E_{g,A}+P.E_{sp,A}= K.E_B+P.E_{g,B}+P.E_{sp,B} $[/tex]

[tex]$0+mg_r+\frac{1}{2}k(\Delta x_i)^2=\frac{1}{2}mv_B^2+0+\frac{1}{2}k(\Delta x_B)^2$[/tex]

[tex]$\frac{1}{2}k[(1)^2-(0.66)^2]=\frac{1.6}{2}\times (16)^2-1.6 \times 32 \times \frac{5}{12}$[/tex]

[tex]0.281 \ k =204.8-21.33[/tex]

k = 652 lb/ft

Why do covalent and ionic bonds form?

Answers

Answer:

Ionic bonds form when a nonmetal and a metal exchange electrons, while covalent bonds form when electrons are shared between two nonmetals. An ionic bond is a type of chemical bond formed through an electrostatic attraction between two oppositely charged ions.

Explanation:

hope this helps!

Answer the following question according to formal grammatical rules.

Which of the following sentences corrects the pronoun errors in this sentence?

If a person wants to help their community, they should research opportunities.

A. If a person wants to help their community, you should research opportunities.
B. If you want to help your community, a person should research opportunities.
C. If people want to help their community, they should research opportunities.
D. If a person wants to help it, they should research opportunities.

Answers

If people want to help their community, they should research opportunities corrects the pronoun errors in this sentence.

What is a Pronoun?

This is defined as a word which is used instead of a noun and examples include he, she etc.

In this scenario, the word 'people' agrees with the possessive adjective 'their' and the personal pronoun 'they', which is referred to the third-person plural hence the reason why option C is the most appropriate choice.

Read more about Pronoun here https://brainly.com/question/26257764

Answer:

D

Explanation:

D

If you rub a balloon on a sweater, which will have more electrons?

Answers

When you rub a balloon on a sweater, for example, some electrons come off and end up on the balloon. The fibers have lost electrons giving them a positive charge. The rubber gained electrons giving it a negative charge.

An automobile traveling at a speed of 28.3 m/s applies its brakes and comes to a stop in 4.9 s. If the automobile has a mass of 1.1 x 103 kg, what is the average horizontal force exerted on it during braking? Assume the road is level.

Find Magnitude and direction
WILL GIVE BRAINLIEST​

Answers

Answer:

i say it would be 32.5 m if the brakes comes and stops.  the road is 3.7 x 105

Explanation:

54. Which of the following behaviors is most closely
associated with the foot-in-the-door phenomenon?
(A) Beth continues to participate in class because
she is positively reinforced.
(B) Adam is sleeping while the rest of his
classmates are working on their group
project
(C) Sutan asks his father for $5, and when he
agrees, Sutan asks him for $15 more.
(D) James feels pressure to go to the movies with
his friends even though he prefers to go
bowling.
(E) Diana feels guilty because she did not help
her family clear the table after dinner.

Answers

Answer:

C

Explanation:

Foot-in-the-door technique is a compliance tactic that aims at getting a person to agree to a large request by having them agree to a modest request first

The behavior that should be closely associated is option c. Sutan asks his father for $5, and when he agrees, Sutan asks him for $15 more.

What is the foot-in-the-door phenomenon?

It is a tactic of compliance that focuses on agreeing on the person by having a request.

It shows the connection that lies between the person who is asking for a request and the person who is being asked.

So based on this, option c is correct.

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Alexis is in her Toyota Camry and trying to make a turn off an expressway at 19.0 m/s. The turning radius of the level curve is 35.0 m. Her car has a mass of 1240 kg. Determine the acceleration, net force and minimum value of the coefficient of friction which is required to keep the car on the road.

Answers

Answer:

The solution is given below:

Explanation:

The computation is shown below:

The   acceleration is

= v^2 ÷ r

= 19^2 ÷ 35 m

= 10.3 m/s^2

According to the newton second law

F = mac

= 1240 kg (10.3 m/s^2)

= 12772 N

And,

frictional force (f) = \mu N

f = \mu (mg) = mac

\mu = ac ÷ g

= 10.3 m/s^2 ÷ 9.80 m/s^2

= 1.0510

In these ways it can be determined

When an object is put into a liquid, it experiences a buoyant force that is equal to the weight of the liquid the object displaces. The force on the wire is given as the block is slowly lowered into the liquid (position is given in "centimeters", which you have to change to "meters") and force is given in "newtons"). Choose a mass of the block between 0.125 kg and 0.375 kg and a density of the liquid between 500 kg/m^3 and 1000 kg/m^3. The object is in static equilibrium when the clock stops.

Required:
a. What is the weight of the block and the tension, F, in the string when the block is in the liquid?
b. What is the volume of the block in the liquid—either the submerged part of the block if the block is partially submerged when you paused it or the entire block if it is completely submerged (the dimension of the block that is into the screen is 5.00 cm = 0.0500m)?
c. What is the volume of the water that is displaced by the block (the dimension of both water containers into the screen is 10.00 cm = 0.100m)?

Answers

Answer:

A) F = 1.8375 N, B) V = 1.25 10⁻⁴ m³, C) V= 1.25 10⁻⁴ m³

Explanation:

This exercise should select some values ​​such as the weight of the block m=0.250 kg and the density of the liquid ρ = 500 kg / m³ (water); with these values ​​answer the question, for this we use the static equilibrium relations.

          Σ F = 0

          F + B - W = 0

the expression for thrust is

          B = ρ g V_liquid

A) the weight of the block is

          W = m g

          W = 0.250 9.8

          W = 2.45 N

Let's look for the maximum push

           V_body = V_liquid

            B = 500 9.8 0.05³

           B = 0.6125 N

we substitute

          F = W - B

          F = 2.45 - 0.6125

          F = 1.8375 N

B) As the body is totally submerged, the volume of the liquid and the body are equal

           V = l³

           V = 0.05³

           V = 1.25 10⁻⁴ m³

C) the volume of water displaced is equal to the volume of the body

           V_liquid = 1.25 10⁻⁴ m³

When a species has no members left that are alive

Answers

Answer:

it means that species is extinct.

Explanation:

have a good day :)

I think the answer is extinct, since there are no member left that are alive of that kind of species.

The chart shows the masses of selected particles.
Particle
Mass
2350
137 9 u
6
92
138
Ba
K:
on
94.9u
1.0 u
In the equation u + Ön – 133Ba + K+ + 36n+E , the energy E is equivalent to a mass of

1.
0.2 u
2.
2.0 u
3.
2.2 u
4.
0.0 u

Answers

Answer: 0.2 u

Explanation:

The atomic mass of nuclide is written as a superscript. On the left (reactants) aide of the nuclear equation shown, the total atomic mass is 235.0 + 1.0 u = 236 u. On the right (products) side reaction, the total atomic mass is 137.9u + 94.9u + 3 x 1.0u = 235.8 u. Therefore, 0.2 mass units must have been converted into energy.

A student is throwing a ball. She throws the ball up with her left hand, it passes over her head, and she catches it with her right hand. The picture shows the path of the ball. The ball is numbered at different positions. What is happening at position 2?
A.Kinetic energy increases as potential energy decreases.
B.Potential energy increases as kinetic energy decreases.

C.Kinetic energy is zero, and the potential energy is greatest.
D.Potential energy and kinetic energy both stay the same.

Answers

Answer:

(c) at point 2, the ball is at its highest height do its PE is max. Also at ms height, velocity is zero therefore KE is zero.

In A. C. motor capacitor is used
p.Can dicouly [BPKIHS 2000
to reduce ripples b. to decrease A. C.
c. to increase A. C. d. to decrease D. C.
a.
34​

Answers

Answer:

d. to decrease D. C.

Explanation:

d. to decrease D. C.

A car comes to a stop six seconds after the driver applies the brakes. While the brakes are on, the following velocities are recorded:
Time since brakes applied (sec) 0 2 4 6
Velocity (ft/s) 87 44 16 0
Give lower and upper estimates (using all of the available data) for the distance the car traveled after the brakes were applied.

Answers

Answer:

Explanation:

deceleration during first 2 s = (87 - 44) / 2 =21.5 m /s²

deceleration during next 2 s = (44 - 16) / 2 =14 m /s²

deceleration during last  2 s = (16 - 0) / 2 = 8  m /s²

If we assume the acceleration to be uniform during 3 readings

distance travelled during first 2 s

v² - u² = 2 a s

87² - 44² = 2 x 21.5 x s

s = 7569 - 1936 / 43

= 176 m

distance travelled during next 2 s

44² - 16² = 2 x 14 x s

s =  1936 - 256  / 28

= 60 m

distance travelled during last 2 s

16² - 0² = 2 x 8 x s

s =   256  / 16

= 16 m

Total distance travelled = 176 + 60 + 16 = 252 m

If we assume the acceleration as non- uniform , we first calculate average acceleration as follows .

average acceleration = (87 - 0)/ 6 = 14.5 m /s²

v² - u² = 2 a s

87² - 0² = 2 x 14.5 x s

s = 7569  / 29

= 261  m

Hence lower estimate of distance travelled = 252 m ; upper estimate of distance travelled = 261 m .

Two identical thermally insulated spherical tanks, A and B, are connected by a valve. Initially tank A contains 20mol of an ideal diatomic gas, tank B is evacuated, and the valve is closed.
If the valve is opened and the gas expands isothermally fromA to B, what is the change in the entropy of the gas?

Answers

Answer:

Explanation:

Volume of gas is doubled isothermally . Let the temperature of the gas be T .Work done by the gas

W = 2.303 nRT log 2 V / V

Since expansion is isothermal , Δ E = 0

Q = ΔE + W

Q = W

Q = 2.303 nRT log 2 V / V

Q / T = 2.303 n R log 2

Change in entropy = ΔS = Q / T = 2.303 n R log 2

= 2.303 x 20 x 8.3 x .3010 J T⁻¹.

= 115  J T⁻¹.

The required change in the entropy of the gas is 115 J/K.

Given data:

The number of moles of diatomic gas in tank A is, n = 20 mol.

The expansion takes place isothermally, which means the volume is doubled at the constant temperature. Therefore, work done during the isothermal expansion is,

W = 2.303 nRT log 2 V / V

Since expansion is isothermal , Δ E = 0. Then by using the first law of thermodynamics as,

Q = ΔE + W

Q = W

Q = 2.303 nRT log 2 V / V

Q / T = 2.303 n R log 2

Also, we that the expression for the change in Entropy is,

 ΔS = Q / T = 2.303 n R log 2

Solving as,

ΔS = 2.303 x 20 x 8.3 x .3010

ΔS = 115  J/K

Thus, we can conclude that the required change in the entropy of the gas is 115 J/K.

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imma straight male btw also wut are newtons law write a paragraph desricbing them

Answers

third law of motion are ubiquitous in everyday life. For example, when you jump, your legs apply a force to the ground, and the ground applies and equal and opposite reaction force that propels you into the air. Engineers apply Newton's third law when designing rockets and other projectile devices.

Photons with the highest frequency have the lowest _____.
A. wavelength
B. speed
C. color
D. energy​

Answers

Answer:

a wavelength

Explanation:

which is a non-renewable resource used to heat homes a A. solar energy
B.natural gas
C. WINDS
D.woods​

Answers

Answer:

B. natural gas

Answer:

B natural gas

Explanation:

natural gas is used to make electricity

Question 4 of 5
What happens to a light wave traveling through air when it strikes a boundary
with water at a 45° angle?
A. It reflects back into the air, moving in the opposite direction.
B. It reflects back into the air with a 45° angle of reflection.
C. It refracts away from the boundary as it moves into the water.
O D. It refracts toward the boundary as it moves into the water.
SUBMIT

Answers

Answer:

b

Explanation:

reflection

The maximum allowable resistance for an underwater cable is one hundredth of an ohm per
meter and the resistivity of copper is 1.54 x 10-80m.
a) Calculate the smallest cross sectional area of copper cable that could be used.​

Answers

Answer:

A = 1.54 x 10⁻⁵ m² = 15.4 mm²

Explanation:

The resistance of a wire can be given by the following formula:

[tex]R = \frac{\rho L}{A}\\\\A = \frac{\rho L}{R} = \frac{\rho}{\frac{R}{L} }[/tex]

where,

A = smallest cross-sectional area = ?

ρ = resistivity of copper = 1.54 x 10⁻⁸ Ωm

[tex]\frac{R}{L}[/tex] = resistance per unit length of wire = 0.001 Ω/m

Therefore,

[tex]A = \frac{1.54\ x\ 10^{-8}\ \Omega m}{0.001\ \Omega/m}[/tex]

A = 1.54 x 10⁻⁵ m² = 15.4 mm²

1 pts
Harry spent his summer playing guitar on the corner trying to earn some extra money. He would keep his guitar
case open for people to drop extra change into. Sometimes people would put money in the case and sometimes
people would be rude. Putting money in the hat is a to Harry's behavior.
Tir
Atte
1M
Negative reinforcement
Positive reinforcement
O Negative punishment
Positive punishment
Question 2
1 pts
O
SIC
acer

Answers

Answer:

Positive reinforcement

main method of energy transfer​

Answers

Answer:

Electrification induction

Answer:

Conduction

Convection

radiation

Explanation:

When oxygen in water interacts with iron it results in O A rust forming O B) a chemical change C) oxidation O D) all of the above​

Answers

correct answer is D, all of the above. Rust forming is a chemical change which is classified as oxidation

Starting from rest, a car takes 2.4 s to travel the first 15 m. Assuming a constant acceleration, how long will it take the car to travel the next 15 m?

Answers

Answer:

The time it will take the car to travel the next 15 m is 1 s.

Explanation:

Given;

initial velocity of the car, u = 0

time of motion, t = 2.4 s

initial distance traveled, d = 15 m

determine the constant acceleration of the car;

d = ut  +  ¹/₂at²

15 = 0  +  (0.5 x 2.4²)a

15 = 2.88a

a = 15 / 2.88

a = 5.21 m/s²

The velocity of the car at the end of the first 15 m

v - u + at

v = 0 + 5.21 x 2.4

v = 12.5 m/s

The time to cover the next 15 m;

d₂ = vt  + ¹/₂at²

15 = 12.5t  +  (0.5 x 5.21)t²

15 = 12.5t  +  2.61t²

0 = 2.61t²  +   12.5t   -  15

Use the formula method to solve the above quadratic equation.

a = 2.61

b = 12.5

c = -15

[tex]t = \frac{-b \ \ +/- \ \ \sqrt{b^2 - 4ac} }{2a} \\\\t = \frac{-12.5 \ \ +/- \ \ \sqrt{12.5^2 - (4\times 2.61 \times -15)} }{2\times 2.61}\\\\t = 0.9937 \ s \ \ \ or \ \ \ -5.78 \ s\\\\time \ can \ only \ be \ positive;\\\\t \approx \ 1\ s[/tex]

Therefore, the time it will take the car to travel the next 15 m is 1 s.

Will award brainliest and upvote if you can help answer! ​

Answers

Answer:

Omqnp

Explanation:

I have done this before and got it correct

what must happen for a electromagnet to have a magnetic field

Answers

By simply wrapping wire that has an electrical current running through it around a nail, you can make an electromagnet. When the electric current moves through a wire, it makes a magnetic field. If you coil the wire around and around, it will make the magnetic force stronger, but it will still be pretty weak.
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