A particle moves according to a law of motion s = f(t) = te-t / 5, t 0, where t is measured in seconds and s in feet. (a) Find the velocity at time t.
v(t) = $$
ft/s

(b) What is the velocity after 4 s? (Round the answers to three decimal places.)
v(4) = 0.08986579 ft/s

(c) When is the particle at rest?
t = 5 s

(d) When is the particle moving in the positive direction? (If you need to use -∞ or ∞, enter -INFINITY or INFINITY.)
(0 , INFINITY )

(e) Find the total distance traveled during the first 12 s.
(No Response) feet

(f) Draw a diagram to illustrate the motion of the particle. (Do this on paper. Your instructor may ask you to turn in this graph.)

(g) Find the acceleration at time t and after 4 s. (Round the second answers to three decimal places.)
a(t) = $$

a(4) = (No Response) ft/s2

(h) Graph the position, velocity, and acceleration functions for t 0. (Do this on paper. Your instructor may ask you to turn in this graph.)

(i) When is the particle speeding up? (If you need to use -∞ or ∞, enter -INFINITY or INFINITY.)
(0 , 5 )
When is it slowing down?

if someone can help I really appreciate it. Have a great day