Question

A particle moves along a straight line OX .at a time t the distance x of the particle from O is given by x=40 +12t-t^3.how long would the particle travel before coming to rest

Answer 1

Answer:

2 seconds

Explanation:

v = dx/dt

time for v =0

dx/dt = 0

d(40+12t-t^3)/dt =0

-3t^2 +12 =0

-3t^2 = -12

t^2 =4

t=2 seconds