Question

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion

s = 4 sin(πt) + 3 cos(πt),
where t is measured in seconds. (Round your answers to two decimal places.)

A. Find the average velocity during each time period.
(i) [1, 2]
(ii) [1, 1.1]
(iii) [1, 1.01]
(iv) [1, 1.001]

B. Estimate the instantaneous velocity of the particle when t = 1.

Answer 1

Find the slope of the line that passes through the points shown in the table.

The slope of the line that passes through the points in the table is

.

Explanation: