1. ## Velocity

v(t)=0.01t^4 - 0.04t^3 t>or equal to 0 where t is time (seconds) and v is velocity (ft/s)

a) Find velocity at time t.
b) What is velocity after 3 s?
c) When is the particle at rest?
d) When is the particle moving in the positive direction?
e) Find the total distance traveled in the first 8 s.
f) Draw diagram to illustrate the motion of the particle.
g) Find the acceleration at time t and after 3 s.
h) Graph the position, velocity, and acceleration functions for 0 <or equal t <or equal 8
i) When is the particle speeding up? When is it slowing down?

a) You are given $\displaystyle v(t)$, so I don't understand being asked to state a given.
b) Evaluate $\displaystyle v(3)$.
c) Equate $\displaystyle v(t)=0$ and solve for $\displaystyle t$.