A toy rocket is fired straight upward from the surface of Planet Z. Its height i

Question

A toy rocket is fired straight upward from the surface of Planet Z. Its height is given by the function s(t)=60t^2+20, with s in meters and t in seconds since the rockets motor shut off. Note that Planet Z has no atmosphere.

a.) Write a function that gives the velocity of the rocket t seconds after its motor shuts off.

b.) What was the velocity of the rocket when the motor is shut off?

c.) Once the rocket's motor shuts off, there are no forces acting on the rocket other than Planet Z's gravity. What would the value be for the acceleration due to gravity on Planet Z?

Explanation / Answer

a)v=ds/dt=120t

b)v(0)=0

c)g=dv/dt=120m/s^2

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