# Calculus

posted by
**Roscoe**
.

The displacement (in meters) of a particle moving in a straight line is given by the equation of motion

s = 5/t2,

where t is measured in seconds. Find the velocity of the particle at times

t = a, t = 1, t = 2, and t = 3.

(a) Find the average velocity during each time period.

(i) [1, 2]

cm/s

(ii) [1, 1.1]

cm/s

(iii) [1, 1.01]

cm/s

(iv) [1, 1.001]

cm/s

(b) Estimate the instantaneous velocity of the particle when t = 1.

cm/s