Physics

A rocket, initially at rest on the ground, accelerates straight upward from rest with constant acceleration 58.8 m/s2 . The acceleration period lasts for time 5.00 s until the fuel is exhausted. After that, the rocket is in free fall.

Max height

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  1. phase 1
    a = 58.8 and t = 5
    Hi = (1/2) a t^2 = 29.4*25 = 735 meters
    Vi = a t = 58.8 * 5 = 294 m/s

    Phase 2
    a = -9.81 m/s^2

    v = Vi - a t
    v = 294 - 9.81 t
    v = 0 at top
    t = 30 seconds more

    h = 735 + 294(30) -4.9 (30^2)
    = 735 + 8811 - 4410
    = 5136 meters

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