A rocket, initially at rest on the ground, accelerates straight upward from rest

Question

A rocket, initially at rest on the ground, accelerates straight upward from rest with constant net acceleration a, until time t_1, when the fuel is exhausted. Find the maximum height H that the rocket reaches (neglecting air resistance). Express the maximum height in terms of a, t_1, and/or g. Note that in this problem, g is a positive number equal to the magnitude of the acceleration due to gravity. If the rocket's net acceleration is a = 3g for t_1 = 5.00 ;{ m s}, what is the maximum height the rocket will reach? Express your answer numerically in meters, using g = 9.81; { m m}/{ m s}^2 .

Explanation / Answer

H = 0.5*a*(t_1)^2 + (a*(t_1))^2/g

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