A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet.
f(t) = t^3 - 9t^2 + 24t
e) Draw a diagram to illustrate the motion of the particle and use it to find the total distance (in ft) traveled during the first 6 seconds.
(I've entered the following answers that don't work: 36, 52, 160, 72, 40, 240, 126, and 244.)
h) When is the particle speeding up? When is it slowing down? (Enter your answer using interval notation.) I've entered (3, infinity) for speeding up and it marks it as incorrect.