Calculus Particle Motion Question hw

Question

given that a particle moves according to the function: s(t)=t(t-6)^2 , find (s is in meters, t is in seconds):



a. the velocity at all times

b. the velocity at t=2

c. when the particle is at rest? Why?

d. when is the particle is moving to the right

e. when is the particle is moving to the left? Why?

f. find the total distance traveled in the first ten seconds?

g. find the acceleration at all times

h. find the acceleration at t=1 sec

I. went is the particle speeding up? why?

j. when is the particle slowing down? Why?

Answer 1