Classical Mechanics (Kibble & Berkshire) · Problem 2.2

Newton's laws of motion and the law of gravitation — T.W.B. Kibble, F.H. Berkshire

Physics — Mechanics · rectilinear-particle-motion

Problem

A particle

P

moves along the

x

-axis with its acceleration

a

at time

t

given by

a = 6t - 4 \text{ m s}^{-2}.

Initially

P

is at the point

x = 20

m and is moving with speed

15

m s

^{-1}

in the negative

x

-direction. Find the velocity and displacement of

P

at time

t

. Find when

P

comes to rest and its displacement at this time.