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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 = 5 sin πt + 2 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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Answer #1 ✔ Recommended Answer

Given equation S - 5 sentit +2 Cos nit a) ) [19] nverage velocity on the interval (9,6] es (b)-SCO) - Vaverage : ba (12) Vaveis 19,1.013 nuerage velocity: 5C7:00-5002 · 588n (1.011)+2008 (1-0111) . (sin(10) + 2008 1) 0.01 • 56-0.031411)+26-0.99951)-(NI): 511 COS(11)-971 Sin(TV) ST(-1)-27(0) V(1): -511 :.instantaneous velocity : -Sticm/sec

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