In the early stages of its motion the height of a rocket, h metres, is given by

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In the early stages of its motion the height of a rocket, h metres, is given by h = 1/6t4, where t seconds is the time after launch.

a. Find expressions for the velocity and acceleration of the rocket at time t.

b. After how long is the acceleration of the rocket 72 m s−2?

c. Find the height and velocity of the rocket at this time.

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