A rocket blasts off. In 10.0 seconds it is at 10,000 ft, traveling at 3600 mph. Assuming the direction is up, calculate the acceleration. (Hint: the rocket is not under constant acceleration).

If acceleration is not constant, there's no way to calculate it. All we can do is figure the average acceleration. That is

3600mi/hr / 10s = 360 mi/hr/s

You can convert that to ft/s^2 as you wish.

A rocket blasts off. In 10.0 seconds it is at 10,000 ft, traveling at 3600 mph. Assuming the direction is up, calculate the acceleration. (Hint: the rocket is not under constant acceleration).

To calculate the acceleration of the rocket, we can use the formula:

acceleration (a) = change in velocity (Δv) / change in time (Δt)

Since the rocket is not under constant acceleration, we need to calculate the change in velocity over a small time interval and then take the average acceleration.

Given:

Initial velocity (u) = 0 mph (since the rocket starts from rest),
Final velocity (v) = 3600 mph (velocity of the rocket after 10.0 seconds),
Initial position (s) = 0 ft (since the rocket starts from rest),
Final position (s') = 10,000 ft (position after 10.0 seconds).

To calculate the change in velocity, we can use the formula:

Δv = v - u

Δv = 3600 mph - 0 mph
Δv = 3600 mph

To calculate the change in time, we can use the formula:

Δt = t' - t

Δt = 10.0 seconds - 0 seconds
Δt = 10.0 seconds

Now we can calculate the acceleration using the formula:

a = Δv / Δt

a = (3600 mph) / (10.0 seconds)
a = 360 mph/second

Therefore, the acceleration of the rocket is 360 mph/second.