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In: Math

The displacement (in centimeters) of a particle moving back and forth along a straight line is...

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

s = 3 sin(πt) + 4 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]
_______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.

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