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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 = 4 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.

(i)    [1, 2] cm/s

(ii)    [1, 1.1]
cm/s

(iii)    [1, 1.01]
m/s

(iv)    [1, 1.001]


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

Math   Calculus   
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