Question

A particle moves according to a law of motion is measured in seconds and s in feet.

(a) Find the velocity at time t.

(b) What is the velocity after 1 second?

(c) Whan is the particle at rest?

(d) When is the particle moving in the positive direction?

(e) Find the total distraveled during the first 6 seconds.

(f) Draw a diagram like Figure 2 to illustrate the motion of the particle.

(g) Find the acceleration at time t and after 1 second.

(h) Graph the positio, velocity, and acceleration function for  

(i) When is the particle speeding up? When is it slowing down?