Answer Happy

A particle moves according to a law of motion s = f(t), t≥ 0, where t is measured in seconds and s in feet. f(t) = t3 15t² + 72t (a) Find the velocity at time t (in ft/s). v(t) = 3t²30t + 72 (b) What is the velocity (in ft/s) after 5 s? v(5) = 0 ft/s Enter an exact number. (c) When (in seconds) is the particle at rest? ----------- (smaller value) t = (larger value) t = tE (d) When (in seconds) is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total distance (in feet) traveled during the first 8 s. ft a(t) = (f) Find the acceleration at time t (in ft/s²). Find the acceleration (in ft/s2) after 5 s. a(5) = ft/s² S (9) Graph the position, velocity, and acceleration functions for the first 8 s. y 150 100 50 S V 6 8 150 r 100 kkk 50 2 O 150r 100 50 2 (h) When, for 0 ≤ t <∞, is the particle speeding up? (Enter your answer using interval notation.) 6 8 8 150r 100 50 8 t
(smaller value) t = (larger value) t = tE (d) When (in seconds) is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total distance (in feet) traveled during the first 8 s. a(t) = (f) Find the acceleration at time t (in ft/s²). 150 Find the acceleration (in ft/s2) after 5 s. a(5) = ft/s² 100 ft (9) Graph the position, velocity, and acceleration functions for the first 8 s. y y 50 S S Need Help? Submit Answer Read It Watch It 8 100 kkk 50 (h) When, for 0 ≤ t < ∞, is the particle speeding up? (Enter your answer using interval notation.) DO When, for 0 < t < ∞, is it slowing down? (Enter your answer using interval notation.) Viewing Saved Work Revert to Last Response 150r 100 50 6 8 DO 150 6 8 DO y 150r 100 50 6 8 t i