(adsbygoogle = window.adsbygoogle || []).push({}); One dimensional motion-- object accelerating straight downwards

1. The problem statement, all variables and given/known data

A rocket, initially at rest, is fired at "t = 0" vertically down from a building of height "H". The rocket's acceleration, including the effects of gravity, is downwards with increasing magnitude given by a(t) = βt, where "β" is a known constant. When does it hit the ground and how fast is it going when it hits?

2. Relevant equations

x_{f}= x_{i}+ v_{i}*t + (1/2)*a*t^{2}

3. The attempt at a solution

x_{f}= (0) + v_{i}*t + (1/2)*β*t^{2}

I plugged everything into this equation, but it doesn't look right. I'm really confused. thanks in advance

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# One dimensional motion- object accelerating straight downwards

**Physics Forums | Science Articles, Homework Help, Discussion**