Question

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 5 sin(πt) + 5 cos(πt), where t is measured in seconds. (Round your answers to two decimal places.) (a) Find the average velocity during each time period. g

Answer 1

Answer:

$v_{avg} = 0$

Explanation:

The object is moving to and fro about its mean position

and the equation for its displacement is given as

$s = 5 sin(\pi t) + 5 cos(\pi t)$

now in one complete time period we know that the the object will complete its one oscillation

So the change in the position of the object in one complete time period will be ZERO

so here we can say that

$v_{avg} = \frac{displacement}{time}$

since change in position is zero

so displacement = 0

$v_{avg} = 0$