2-42.  A ball is rolled up a ramp with an initial velocity of 10 m/s. The absolute value of the ball's acceleration is 2 m/s2.

a.  

How far up the ramp does the ball go?

b.  

How long does it take the ball to reach this point?

c.  

If the ball starts out at t = 0, at how many different instants t will it be at a point 9 m from its starting position—zero, one, or two? (Answer this before doing a calculation.)

d.  

If the ball starts out at t = 0, when will it be 9 m from its starting position? What will its velocity be at each instant? Answer this by doing a calculation, and see if your result agrees with your answer to c.