I was given an optional Mathematica assignment (15 problems) that I am trying to work through. I was able to do all 15 except this gigantic, multi-step problem. Please see the question and then my code below. Thanks so much for your help!
- Suppose a ball is thrown upward and its position (in feet) above the ground after t
seconds is given by the equation, s(t) = -5t2 + 150t + 25.
(a) Find the velocity function.
(Know how to do this one. ANSWER: 25 + 150t - 5t^2)
(b) How high is the ball at time t = 0?
s (t) = -5 t^2 + 150 t + 25
s (0) = -5 t^2 + 150 t + 25
I can't seem to get the coding right for the next ones. They come up with error messages (even though I really thought I had C through I's coding done correctly!) :
(c) What is the velocity of the ball when the ball is at it highest point above the
(d) What is the maximum height the ball will be above the ground?
(e) When is the velocity positive? What is the physical signicance of this?
(f) When is the velocity negative? What is the physical signicance of this?
(g) What is the velocity of the ball on its way up when its height is 600 ft?
(h) What is the velocity of the ball on its way down when its height is 600 ft?
(i) When (if ever) is the velocity 50 ft/sec?
(j) When (if ever) is the velocity 600 ft/sec?
(k) Find the total distance traveled by the ball from time 0 to when it hits the ground.
Explain how you found this.