The motion of a particle is described by the position function s(t)=2t315t2+33t+17,t>0 , where t is measured in seconds and s(t) in metres.

a. When is the particle at rest?

b. When is the velocity positive?.

c. Find the total distance traveled in the first 10 seconds

d. Draw a diagram to illustrate the motion of the particle in the first 10 seconds