1. ## velocity and distance

A particle that moves along a straight line has velocity
meters per second after t seconds.
How many meters will it travel during the first t seconds?

2. Originally Posted by dat1611
A particle that moves along a straight line has velocity
meters per second after t seconds.
How many meters will it travel during the first t seconds?
note that $v(t) \ge 0$ for all $t$.

assuming the clock starts at $t = 0$ ...

displacement = distance traveled = $\int_0^t x^2 e^{-2x} \, dx$