The displacement (in meters) of a particle moving in a straight line is given by the equation of motion
s = 4/t2,
where t is measured in seconds. Find the velocity of the particle at times
t = a, t = 1, t = 2, and t = 3.
plz need help on math homework. I believe you use the formula
Lim (s(a+h) -s(a)) / (h)
If you differentiate the displacement equation with respect to t, you'll get the velocity equation v(t) = -8/t^3
Substitute in the values for t and there you go.
Notice that the velocity is strictly decreasing and will eventually reach 0, this is logical since from the displacement equation as t approaches infinity, the displacement also tends towards 0.