A) A toy rocket is launched vertically from ground level (y = 0.00 m), at time t

Question

A) A toy rocket is launched vertically from ground level (y = 0.00 m),

at time t = 0.00 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 72 m and acquired a velocity of 30 m/s. The rocket continues to rise in unpowered flight, reaches maximum height, and falls back to the ground with negligible air resistance. The speed of the rocket upon impact on the ground is closest to ...? Show Step by step please.

Show your work please.

Explanation / Answer

v^2=2a*s
a=v^2/(2s)=0.847 m/s^2
t1=2*s/v=11.8 s

t2 to fall back to the ground
solve
59+10*t-4.9t^2=0
t2=4,637 s
total time
16,4 s <--------

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