A particle starts from rest and accelerates as shown in the figure below a (m/s2

Question

A particle starts from rest and accelerates as shown in the figure below a (m/s2) f (s) 5 10 15 20 -1 (a) Determine the particle's speed at t10.0 s and at t 20.0 s .2 Your response is off by a multiple of ten. m/s 13 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m/s = 10.0 s re t 20.0 Your res (b) Determine the distance traveled in the first 20.0 s. (Enter your answer to one decimal place.) 35 Your response differs from the correct answer by more than 10%. Double check your calculations. m

Explanation / Answer

a=20

tf=10

ti=0

v=2*(10-0)=20 m/sec

(b) acceleration is zero between 10 to 15 seconds

and from 15 to 20 seconds it is -3 m/s2

v=-3*(20-15) = -14 m/sec

v=20-15 = 5 m/s

so answer is 5 m/s

(c) distance travelled is are of all the curves = 100+100+37.5+25 = 263 m

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