True or False: For a longitudinal wave, the wavelength is the distance between compressions.

Question:

A small rocket is launched vertically upward from the edge of a cliff 80 ft off the ground at a speed of 69 ft/s. Its height (in feet) above the ground is given by  [tex]h(t) = - 25t^2 + 200t + 400[/tex] where t represents time measured in seconds.

Assuming the rocket is launched at t=0, what is an appropriate domain for h?

Answer:

[tex]0 \le t \le 9.66[/tex]

Explanation:

Given

[tex]h(t) = - 25t^2 + 200t + 400[/tex]

Required

Determine the domain of h

The initial value of t is 0.

i.e.

[tex]t = 0[/tex] --- This is given in the question

To determine the final value, we simply solve for t in [tex]h(t) = - 25t^2 + 200t + 400[/tex]

Rewrite the expression:

[tex]- 25t^2 + 200t + 400=0[/tex]

Divide through by -25

[tex]\frac{-25t^2}{-25} + \frac{200t}{-25} + \frac{400}{25}=\frac{0}{-25}[/tex]

[tex]t^2 - 8t - 16 = 0[/tex]

Using quadratic formula:

[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a= 1[/tex]    [tex]b = -8[/tex]  and [tex]c = -16[/tex]

The expression becomes:

[tex]t = \frac{-(-8)\±\sqrt{(-8)^2 - 4*1*(-16)}}{2*1}[/tex]

[tex]t = \frac{8\±\sqrt{64+ 64}}{2}[/tex]

[tex]t = \frac{8\±\sqrt{128}}{2}[/tex]

[tex]\sqrt{128} = 11.31[/tex]

So, we have:

[tex]t = \frac{8\±11.31}{2}[/tex]

Split

[tex]t = \frac{8+11.31}{2}\ or\ t = \frac{8-11.31}{2}[/tex]

[tex]t = \frac{19.31}{2}\ or\ t = \frac{-3.31}{2}[/tex]

[tex]t = 9.66\ or\ t = -1.66[/tex]

But time can't be negative.

So:

[tex]t = 9.66[/tex]

Hence, the domain is:

[tex]0 \le t \le 9.66[/tex]

Answer:

Force is measured using either the English System of Measurements or the International System of Units A force can cause an object with mass to change its velocity It is measured in the SI unit of newtons and represented by the symbol F.

Explanation:

Answer:

Workdone = 147Nm

Explanation:

Given the following data;

Mass = 5kg

Height = 3m

We know that acceleration due to gravity is 9.8m/s²

First of all, we would find the force applied;

[tex] Force = mass * acceleration [/tex]

Force = 5*9.8

Force = 49N

Now, to find the workdone;

[tex] Workdone = force * distance [/tex]

Substituting into the equation, we have;

Workdone = 49 * 3

Workdone = 147Nm

Answer:

46 degrees

Explanation:

90+44+x=180

44+x=90

x=46

Answer:well isn't it 90 like it said on the image?

Explanation?????

Given that,

Distance travelled, d = 3.06 m

Final velocity, v = 0.18 m/s

Average velocity of the object, V = 0.34 m/s

To find,

The acceleration of the object.

Solution,

Let t is the time in which it covers distance d. Average velocity is given by distance covered divided by time.

[tex]V=\dfrac{d}{t}\\\\t=\dfrac{d}{V}\\\\t=\dfrac{3.06}{0.34}\\\\t=9\ s[/tex]

Let a is the acceleration of the object. Using equation of motion to find it :

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{0.18-0}{9}\\\\a=0.02\ m/s^2[/tex]

So, the acceleration of the object is 0.02 m/s².

–0.2 m/s2 I did it on edge 2020

Answer:

the answer is C

Explanation:

i got it wrong the first time because the answer above says -0.2 but its actually 0.2

i hope this helps

Answer:

A. nuclear fusion reactions

C. it's still hot from the big bang

Explanation:

The inside of the earth is hot due to some reasons. This heat provides the internal energy the drives processes within the earth interior. Here are some of the ways in which the heat has accumulated:

These are some of the sources of the earth's internal heat.

Answer:

40 000 units of momentum

Explanation:

Assuming that the mass is doubled and the velocity stays constant the new momentum will be doubled the original momentum.