average velocity w/ trig displacement?
The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 2sin(t) + 4cos(t), where t is measured in seconds.
(a) Find the average velocity during the time period [1, 2].
(b) Find the average velocity during the time period [1, 1.1].
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(a)
( s(2) - s(1) ) / (2 - 1)
= ( 2sin(2) + 4cos(2) - 2sin(1) - 4cos(1) )
= -3.69 cm/sec.
(b)
( s(1.1) - s(1) ) / (1.1 - 1)
= ( 2sin(1.1) + 4cos(1.1) - 2sin(1) - 4cos(1) ) / 0.1
= -2.47 cm/sec.