Quiz: End of Chapter Practice
A particle moves according to the following function:

x(t)=3t221t+30x(t)=3t^2-21t+30

Determine the following:
You're floating in space near your space capsule and manage to detach from it. You start 10 m away from the capsule at rest, and accelerate towards the capsule at the following rate:

a=0.7(x+2)2a =- \frac{0.7}{(x+2)^2}

At this rate, what will your velocity (in m/s) be upon impact?