Answer Happy

A particle moves according to a law of motion s= f(t), tz 0, where t is measured in seconds and s in feet. Rt) - 2²-122² + 36t (a) Find the velocity at time t (in ft/s). V(C)= (b) What is the velocity (in ft/s) after 5 s7 v(5) - ft/s (c) When (in seconds) is the particle at rest? (smaller value) t- (larger value) - (d) When (in seconds) is the particle moving in the positive direction? (Enter your answer using notation.) CE 9 E S

(a) Find the total distance (in feet) traveled during the first s (n) Find the acceleration at time (w /st). 2013- Find the acceleration (in fs) after 5 fusk (u) Graph the position, velocity, and acceleration functions for the first s O -20 @O 40) 20 th) When, for deres the partice speeting up? (Enter your answer using interval notation.) when, for stem, is it slowing down? (Enter your answer using interval notation.) no 20 -20

(f) Find the acceleration at time t (in ft/s²). a(t) = Find the acceleration (in ft/s2) after 5 s. a(5) fu/s² (9) Graph the position, velocity, and acceleration functions for the first 7 s. y 40 20 -20 2 4 A J. 8 G 40 20 -20 2 اس ہے 4 6 40 20 -20

-20 -20 (h) When, for 0 st<o, is the particle speeding up? (Enter your answer using interval notation.) When, for 0 st <co, is it slowing down? (Enter your answer using interval notation.) -20