Question

A particle that moves along a straight line has velocity v(t) = t 2 e −t meters per second after t seconds. How far will it travel during the first t seconds?

Answer 1

Answer:

The particle that has velocity, v(t) = t²e^(-t) travels the distance

x = -t²e^(-t) - 2te^(-t) - 2e^(-t) + 2

after t seconds.

step explanation: See attachment for explanation.