Solution Found!
A particle P moves in a straight line. Its displacement from the origin O is given by
Chapter 17, Problem 7(choose chapter or problem)
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.
Questions & Answers
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.
ANSWER:Step 1 of 4
The displacement equation is given as.
Hence the velocity of the particle P is 
For determining the acceleration of the particle P, differentiate the velocity equation with respect to 
Hence the velocity of the particle P is 