A particle P moves in a straight line. Its displacement from the origin O is given by

QUESTION:

A particle P moves in a straight line. Its displacement from the origin O is given by s(t) = 100t + 200e t 5 cm where t is the time in seconds, t > 0. a Find the velocity and acceleration functions. b Find the initial position, velocity, and acceleration of P. c Discuss the velocity of P as t ! 1. d Sketch the graph of the velocity function. e Find when the velocity of P is 80 cm per second.