A particle moves according to a law of motion s = f(t), t 2 0, where t is measured in seconds and s in feet. f(t) = 0.01t4 -0.0573
(a) Find the velocity at time t (in ft/s). v(t) = 0.041? – 0.152
(b) What is the velocity after 3 s? (3) = -0.27 -0.27 ft/s
(c) When is the particle at rest? t = 0 s (smaller value) t = 15/4 s (larger value)
(d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (13.00)
(e) Find the total distance traveled during the first 9 s. (Round your answer to two decimal places.) X ft
(f) Find the acceleration at time t (in ft/s2). a(t) = .1212 - 31 Find the acceleration after 3 s. a(3) = X ft/s2
(g) Graph the position, velocity, and acceleration functions for the first 9 s. y у 01 25 20 s 2 2 1 15 LC 10 10 5 5 t t 8 10 2 1 6 8 10 - -5) y y 2 5 25 20 V V 2 2 0 12 15 LC U 10 10 5 5 t It 10 8 10 4 6 8 N -5F
(h) When, for Ost