For the first 120 seconds after launch, the altitude of a rocket in metres ‘h’ can be described as a function of time ‘t’, in seconds.

Question

For the first 120 seconds after launch, the altitude of a rocket in metres ‘h’ can be described as a function of time ‘t’, in seconds.

h=0.1t^2 + 2t

Question: True or false?: the rocket's vertical acceleration is constant for the first 30 seconds after launch.

Any help appreciated :)

Answer 1

acceleration is the derivative of velocity

velocity is the derivative of distance

acceleration is the 2nd derivative of distance = 0.2 meters per second per second or 0.2 m/sec^2 , a constant