Exercise 2.5 The movement of a particle along a straight line is defined by the relationship s = (t³ +6t² — 15t+7) m whe
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Exercise 2.5 The movement of a particle along a straight line is defined by the relationship s = (t³ +6t² — 15t+7) m where t is in seconds. a. determine when the particle changes direction and it's displacement at that instant. b. sketch the path of the particle for the duration 0 < t < 6 s below. reference v (m/s) A particle moves along a straight line ac- cording to the (v-t) graph shown. Given that s-10 m when t = 0 s, determine a. the maximum displacement and the total distance traveled for the 25 sec- onds period. 25 b. plot the (s-t) graph for 0 < t < 25 s. (Answer: t = 1 s, s= -1 m 8 2 0 5 10 -4 Smax = 30 m, Stotal = 60 m) 15 t (s)
Exercise 2.5 The movement of a particle along a straight line is defined by the relationship s = (t³ +6t² — 15t+7) m where t is in seconds. a. determine when the particle changes direction and it's displacement at that instant. b. sketch the path of the particle for the duration 0 < t < 6 s below. reference v (m/s) A particle moves along a straight line ac- cording to the (v-t) graph shown. Given that s-10 m when t = 0 s, determine a. the maximum displacement and the total distance traveled for the 25 sec- onds period. 25 b. plot the (s-t) graph for 0 < t < 25 s. (Answer: t = 1 s, s= -1 m 8 2 0 5 10 -4 Smax = 30 m, Stotal = 60 m) 15 t (s)