5.) (8 pts.) A rocket blasts off and accelerates at 4.00 m/s until it reaches an

Question

5.) (8 pts.) A rocket blasts off and accelerates at 4.00 m/s until it reaches an altitude of 1000 meters. At this altitude, the rocket engines shut down and the rocket continues to coast upward a.) After the rocket engines shut off, what is the acceleration experienced by the rocket? b.) What is the velocity of the rocket when the engines shut off? c.) What is the maximum height the rocket reaches? d.) What is the time elapsed between the blast off of the rocket and when it crashes into the ground? (assume that the rocket goes straight up and falls straight down).

Explanation / Answer

a) -9.8 m/s^2

b) v = sqroot ( 2ah) = sqroot ( 2x 4x 1000) =89.44 3 m/s

c) max height = 1000 + 89.44^2 / (19.6) = 1408.163 m

d) time to reach the height of 408.163 m = 89.443/ 9.8 = 9.127 sec apprx

time to fall back= sqroot ( 2h/g) = sqroot (2x 1408.163/ 9.8) = 16.95 seconds

total time= 26.1 seconds apprx

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