A Particle Moves According To A Law Of Motion S F T 0 St S 8 Where T Is Measured In Seconds And S In Feet F T Co 1 (33.62 KiB) Viewed 11 times
A Particle Moves According To A Law Of Motion S F T 0 St S 8 Where T Is Measured In Seconds And S In Feet F T Co 2 (33.62 KiB) Viewed 11 times
A particle moves according to a law of motion s= f(t), 0 st s 8, where t is measured in seconds and s in feet. f(t) = cos(xt/4) (a) Find the velocity at time t (in ft/s). v(t)= (b) What is the velocity after 3 s? (Round your answer to two decimal places.) v(3) = ft/s (c) When is the particle at rest? t= s (smallest value) t = s (largest value) (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total distance traveled during the first 8 s. ft (f) Find the acceleration at time t (in ft/s²). a(t) = Find the acceleration after 3 s. (Round your answer to two decimal places.) a(3) - ft/s² (g) Graph the position, velocity, and acceleration functions for 0 st s 8.
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