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(?t) + 4 cos(?t), 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.
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(?t) + 4 cos(?t), 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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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(?t) + 4 cos(?t),
where t is measured in seconds. (Round your answers to two decimal places.)
(a) Find the average velocity during each time period.
(b) Estimate the instantaneous velocity of the particle when t = 1.
(i) [1, 2]
cm/s
(ii) [1, 1.1]
cm/s
(iii) [1, 1.01]
cm/s
(iv) [1, 1.001]
cm/s
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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