What is the maximum height this rocket will reach above the launch pad? How much

Question

What is the maximum height this rocket will reach above the launch pad?          How much time after engine failure will elapse before the rocket comes crashing down to the launch pad? How fast will it be moving just before it crashes?          A 7600kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.35m/s^2 and feels no appreciable air resistance. When it has reached a height of 565m , its engines suddenly fail so that the only force acting on it is now gravity. What is the maximum height this rocket will reach above the launch pad? How much time after engine failure will elapse before the rocket comes crashing down to the launch pad? How fast will it be moving just before it crashes?

Explanation / Answer

at 565 m

v = sqrt(2 x 2.35 x 565) = 51.53 m/s

after 565 m :

h = v^2/2g = 51.53^2 / 2 x 9.81 = 135.35 m

H = h + 565   = 700.35 m ...........Ans

h = ut + at^2/2

- 565 = 51.53t - 4.9t^2

4.9t^2 - 51.53t -565 =0

t = 17.21 sec. ......Ans

v = u + at   = 51.53 - 9.8 x 17.21 =- 117.13 m/s

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