Help with Rocket Problem - A, B, and C

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SUMMARY

The discussion centers on a physics problem involving a rocket launched with an upward acceleration of 19 m/s² for 30 seconds before the engine shuts off. The highest point reached by the rocket can be calculated using kinematic equations, yielding a maximum height of 8,550 meters. The total time the rocket is in the air is approximately 63.5 seconds, and the speed just before impact is calculated to be 34.3 m/s. Participants emphasize the importance of showing work for clarity and adherence to forum rules.

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Help with a problem!

I've been trying to solve this and cannot seem to be getting the right answer.. please help!

A rocket is fired vertically with an upward acceleration of 19 m/s2. After 30 s, the engine shuts off and the rocket then continues rising (while in free-fall). The rocket eventually stops rising and then falls back to the ground.

a) What is the highest point the rocket reaches?
b) what is the total time the rocket is in the air?
c) what is the speed of the rocket just before it hits the ground?

Thanks!
 
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