Question

The displacement (in meters) of a particle moving in a straight line is given by the equation of motion s = 4/t^2, where t is measured in seconds. Find the velocity of the particle at times t = a, t = 1, t = 2, and t = 3.

Answer 1

ds/dt = v = -4 (2t) /t^4 = -8/t^3

if t = a
v = -8/a^3

if t = 1
v = -8/1 = -8

if t = 2
v = -8/8 = -1

if t = 3
v = -8/27