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(

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.

Answer #1

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.
cm/s

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