(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

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

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: One dimensional motion- object accelerating straight downwards

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