a test rocket is launched vertically from guard level (y = 0m) at time t = 0.0s. the rocket engine provides constant acceleration during the burn phase. At the instant of the engine burnout the rocket has risen to 49m and acquired a velocity of 30 m/s. how long did the burn phase last

Question

Physics

Conley

14 August, 07:55

a test rocket is launched vertically from guard level (y = 0m) at time t = 0.0s. the rocket engine provides constant acceleration during the burn phase. At the instant of the engine burnout the rocket has risen to 49m and acquired a velocity of 30 m/s. how long did the burn phase last

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Laylah Knapp · Answer 1

If the rocket had zero speed at ignition and 30 m/s at burnout, and the acceleration was constant throughout the burn, then its average speed over the duration was 15 m/s.

Time = (total distance covered) / (average speed)

Time = (49 m) / (15 m/s)

Time = 3.27 seconds