A boy kicks a ball up a hill, the ball moves in a straight line.  With the equation f(t)=c1t^2+c2t, where c1=-2m/s^2 and c2=15m/s a) calculate the balls velocity and acceleration as a function of time. b) How long does the ball travel (distance) before it starts to travel down hill?  c) How long does it take the ball to return to the starting point, and what is the velocity of the ball at this time?

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Vectors
Section: Chapter Questions
Problem 35AP: A person going for a walk follows the path shown in Figure P3.35. The total trip consists of four...
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A boy kicks a ball up a hill, the ball moves in a straight line.  With the equation f(t)=c1t^2+c2t, where c1=-2m/s^2 and c2=15m/s

a) calculate the balls velocity and acceleration as a function of time.

b) How long does the ball travel (distance) before it starts to travel down hill? 

c) How long does it take the ball to return to the starting point, and what is the velocity of the ball at this time? 

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