A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with a velocity of 5.00 m/s, and her takeoff point is 1.30 m above the pool.

Required:
a. How long are her feet in the air?
b. What is her highest point above the board?
c. What is her velocity when her feet hit the water?

Answer:

After 2 seconds the velocity of the object is 0 m/s.

Explanation:

The velocity at 2 seconds later can be calculated as follows:

[tex] V_{f} = V_{0} - gt [/tex]

Where:

[tex]V_{f}[/tex]: is the velocity at 2 seconds

[tex]V_{0}[/tex]: is the initial velocity = 20 m/s

g: is the gravity = 10 m/s²

t: is the time = 2 s

Hence, the final velocity is:

[tex] V_{f} = V_{0} - gt = 20 m/s - 10 m/s^{2}*2 s = 0 m/s [/tex]

This value (0 m/s) means that the object has reached the maximum height.

Therefore, after 2 seconds the velocity of the object is 0 m/s.

I hope it helps you!

Answer:

Explanation:

In this problem we are expected to find the weight of the plastic tank and the weight of the equal volume of water

Given that

density of water = 1000 kg/m^3

volume of plastic tank is same as the volume of water= 0.18 m^3

we need to solve for the mass of the water

we know that density is = mass/volume

1000= mass/0.18

mass= 1000*0.18

mass= 180 kg

the total mass of the combined system is

4+180= 184 kg

the weight = mg (assuming g= 9.81 m/s^2)

weight = 184*9.81

weight= 1805.04 N

Answer:

The energy returns to the weightlifter's muscles, where it is dissipated as heat.

Explanation:

The energy returns to the weightlifter's muscles, where it is dissipated as heat. As long as the weightlifter controls the weight's descent, their muscles are acting as an overdamped shock absorber, as if the weight were sitting on a piston containing very thick fluid, slowly compressing it downward (and slightly heating up the fluid in the process). Since muscles are complicated biological systems and not simple pistons, they require metabolic energy to maintain tension throughout the controlled descent, so the weightlifter feels like they're putting energy into the weight, even though the weight's gravitational potential energy is being converted into heat within the lifter's muscles.

Answer:

x=± 2

=±1.4142

x=0

Explanation: If this does not help then I'm sorry.

STEP

1

:

           1

Simplify   —

           2

Equation at the end of step

1

:

        1

 k -  ((— • k) • x2)  = 0  

        2

STEP

2

:

Equation at the end of step 2

      kx2

 k -  ———  = 0  

       2  

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

         k     k • 2

    k =  —  =  —————

         1       2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

k • 2 - (kx2)     2k - kx2

—————————————  =  ————————

      2              2    

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  2k - kx2  =   -k • (x2 - 2)  

Trying to factor as a Difference of Squares:

4.2      Factoring:  x2 - 2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 2 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step

4

:

 -k • (x2 - 2)

 —————————————  = 0  

       2      

STEP

5

:

When a fraction equals zero

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -k•(x2-2)

 ————————— • 2 = 0 • 2

     2    

Now, on the left hand side, the  2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -k  •  (x2-2)  = 0

Theory - Roots of a product :

5.2    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

5.3      Solve  :    -k = 0  

Multiply both sides of the equation by (-1) :  k = 0

Solving a Single Variable Equation:

5.4      Solve  :    x2-2 = 0  

Add  2  to both sides of the equation :  

                     x2 = 2

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 2  

The equation has two real solutions  

These solutions are  x = ± √2 = ± 1.4142  

Three solutions were found :

x = ± √2 = ± 1.4142

k = 0

Terms and topics

Answer:

Growth and Development

Answer:

6.03 m/s

Explanation:

Average speed = total distance traveled/total time taken

7 = 450 + 100/total time

total time = 550/7 = 78.57 s

Speed of camel on the bicycle = distance/time

25 = 100/time

time = 100/25 = 4 s

Total time = 78.57 s

Time spent riding bicycle = 4 s

Time spent walking = total time - time spent riding bicycle

                                  = 78.57 - 4 = 74.57 s

Speed of walking = distance walked/time spent walking

                             = 450/74.57

                                 = 6.03 m/s

Answer: sure the truck with 8000 kg mass

Explanation: use the rule: ke=1/2mv^2

Answer:

They come in different kinds, called elements, but each atom shares certain characteristics in common. All atoms have a dense central core called the atomic nucleus. ... All atoms have at least one proton in their core, and the number of protons determines which kind of element an atom is.

Answer:

Force.

Explanation:

SImple as that. think of Newtons Laws.

Answer:

The final velocity of the race car is 27.14 m/s

Explanation:

Given;

initial velocity of the race car, u = 18.5 m/s

acceleration of the race car, a = 2.47 m/s²

distance covered by the race car, s = 79.78 m

Apply the following kinematic equation to determine the final velocity of the race car.

v² = u² + 2as

v² = (18.5)² + 2(2.47)(79.78)

v² = 736.363

v = √736.363

v = 27.14 m/s

Therefore, the final velocity of the racecar is 27.14 m/s

ANSWER- I GUESS IT SHOULD BE GRAVITATIONAL FORCE.......

Answer:

GRAVITATIONAL FORCE

Answer:

This is because the air outside is always cooler than the air inside, so after staying outside your body adapts to the cold air, when you come back inside, the cold air is still in you which makes the room seem warmer.

Answer:

the density makes something float or sink below water its the "water weight "

Explanation:

Answer:

N/A

Explanation:

No Image provided

Answer:

there is no picture to help us help you get the answer so please put up a picture.

Explanation:

Answer:

0.00222km/s

Explanation:

[tex]Distance = 0.2km\\Time = 1\:minute \:30\:seconds = 90\:seconds\\\\Average \:speed =?\\\\Average \:speed = \frac{0.2}{90} \\A.V = 0.002222\\A.V =0.00222[/tex]

Answer & Explanation:

If the resultant force is zero, a moving object towards the right will stay at the same speed. If there is no resultant force then a system is said to be in equilibrium.

If the resultant force is not zero, due to a force towards left of a moving object will slow down - depending on the direction of the resultant force:

it will speed up if the resultant force is in the same direction as the object is moving

it will slow down if the resultant force is in the opposite direction

Please note that the object could also change direction, for example if the resultant force acts at an angle.

Answer:

false

Explanation:qualitative is a word or name that describe a quality of the individual while quantitative is a number or something that can be counted or measured from the individual.

Answer:

Sonar

Explanation:

Sonar is a technique that involves the use of sounds in viewing substances in a water medium to aid movement or communication. It makes use of the advantage of sound waves traveling faster and farther in water when compared to other types of waves such as light waves.

During World War II, the military employed the use of SONAR in imaging the seafloor by sending pulses of sound waves down through the water and measuring the time it took for the sound to bounce off the seafloor and return to the receiver.

Answer: 10m/s²

Explanation: Acceleration= (v-u)/t

                                                 So here it’s (40-20)/2

                                                 Which is equal to 10

The answer to the question is 1.5708~1.571.

Answer:

(a) She has traveled a total distance of 28958.04 m during the entire trip.

(b) Her average velocity for the trip is 6.12 m/s

Explanation:

Here is the complete question:

A bicyclist makes a trip that consists of three parts, each in the same direction (due north) along a straight road. During the first part, she rides for 26.8 minutes at an average speed of 7.57 m/s. During the second part, she rides for 42.4 minutes at an average speed of 3.17 m/s. Finally, during the third part, she rides for 9.69 minutes at an average speed of 15.0 m/s. (a) How far has the bicyclist traveled during the entire trip?  (b) What is her average velocity for the trip?

Explanation:

(a) To determine how far the bicyclist has traveled during the entire trip, we will calculate the distance she covered in each part of the trip, and then sum up the distances to determine the total distance covered.

During the first part, she rides for 26.8 minutes at an average speed of 7.57 m/s

That is,

Average speed, [tex]v[/tex] = 7.57 m/s

and time, [tex]t[/tex] = 26.8 minutes

Convert the time to seconds

∴ [tex]t[/tex] = 26.8 minutes = (26.8 × 60) secs = 1608 secs

[tex]Average speed = \frac{Distance }{ Time}[/tex]

Then, [tex]Distance = Average speed[/tex] × [tex]Time[/tex]

Hence, for the first part

[tex]Distance = 7.57[/tex] × [tex]1608[/tex]

[tex]Distance = 12172.56[/tex] m

This is the distance covered in the first part of the trip.

During the second part, she rides for 42.4 minutes at an average speed of 3.17 m/s

That is, Average speed, [tex]v[/tex] = 3.17 m/s

and time, [tex]t[/tex] = 42.4 minutes

Convert the time to seconds

∴ [tex]t[/tex] = 42.4 minutes = (42.4 × 60) secs = 2544 secs

From,

[tex]Distance = Average speed[/tex] × [tex]Time[/tex]

[tex]Distance = 3.17[/tex] × [tex]2544[/tex]

[tex]Distance = 8064.48[/tex] m

This is the distance covered in the second part of the trip.

During the third part, she rides for 9.69 minutes at an average speed of 15.0 m/s

That is, Average speed, [tex]v[/tex] = 15.0 m/s

and time, [tex]t[/tex] = 9.69 minutes

Convert the time to seconds

∴ [tex]t[/tex] = 9.69 minutes = (9.69 × 60) secs = 581.4 secs

From,

[tex]Distance = Average speed[/tex] × [tex]Time[/tex]

[tex]Distance = 15.0[/tex] × [tex]581.4[/tex]

[tex]Distance = 8721[/tex] m

This is the distance covered in the third part of the trip.

Now for the distance covered during the entire trip,

Total distance = distance covered in the first part of the trip + distance covered in the second part of the trip + distance covered in the third part of the trip

Hence,

Total distance = 12172 m + 8064.48 m + 8721 m

Total distance = 28958.04 m

Hence, she has traveled a total distance of 28958.04 m during the entire trip.

(b) For her average velocity for the trip

Average velocity is given by

[tex]Average velocity = \frac{Total distance traveled}{Total time}[/tex]

Total distance traveled = 28958.04 m

Total time = 1608 secs + 2544 secs + 581.4 secs

Total time = 4733.4 secs

Hence,

[tex]Average velocity = \frac{28958.04}{4733.4}[/tex]

Average velocity = 6.1178 m/s

Average velocity ≅ 6.12 m/s

Answer:

405000 g

Explanation:

1hg(hectogram)=100g

Therefore,

400000g+5000g=405000 g

Answer:

magnitude of gravitational force between the Earth and the Sun at B is greater than that at A

Explanation:

Formula of gravitational force:

F = GMm/r^2

(r is the distance between 2 objects)

We see that r(B) < r(A) since at B, the Earth is closer to the Sun than at A

According to the Formula, the smaller r is, the greater F is

So, F(B) > F(A)

Answer:

y = 43.55 + 2.15t

Explanation:

We were told that in 1983, the per capita consumption was 37.1 pounds, and in 1989 it was 50 pounds.

If we assume t = 0 corresponds to year 1980. Then, for 1983 it will be t = 3 and for 1989,it will be t = 9.

Thus, expressing the information as ordered pairs, we have; (3,37. 1) and (9,50).

Let us now find slope of the linear function:

m1 = (y2 - y1)/(t2 - t1)

m1 = (50 - 37.1)/(9 - 3)

m1 = 2.15

So, we can find the linear equation as;

y - 37.1 = 2.15(t - 3)

y = 37.1 + 2.15t - 6.45

y = 43.55 + 2.15t

Answer:

Change in force = 1.66 × 10⁵ N

Explanation:

Given:

Initial pressure = 837 mmHg

Final pressure = 842 mmHg

Rectangle (10 m ⨯ 25 m)

Find:

Change in force

Computation:

Change in force = (Change in pressure)(Area)(133 pa / 1 mmHg)

Change in force = (842 - 837)(10 m ⨯ 25 m)(133 pa / 1 mmHg)

Change in force = (166,250)

Change in force = 1.66 × 10⁵ N

Answer:

Force=mass×acceleration.

4:5 for masses , 2:3 for acceleration.

For the first car it will be 4×2=8N

For the second car it will be 5×3=15N

Answer:

Technician B

Explanation:

The kinetic energy of an object is possessed when it is in motion. It is given by :

[tex]K=\dfrac{1}{2}mv^2[/tex]

m is mass, v is speed

The kinetic energy is directly proportional to its speed. It does not depend on its weight. It would mean that Technician B is correct as he says that "the kinetic energy of a moving vehicle is directly proportional to its speed".

Answer:

quantitive observation

quantitative observation is a data analysis that is objective. It measures research variables using numerics and statistics. It is a method of observation that views research variables in quantity, which is why the values can be counted in something like age, weight, volume, and scale.

Answer:

use this formula

Average Speed = (Total distance)/(Total Time) =