2-40.  A ball is rolled up a long, sloping driveway with an initial velocity of 4 m/s. The absolute value of the ball's acceleration is 2 m/s2. Assume the ball's initial position is zero and the uphill direction is positive.

a.  

 Find the ball's velocity every second from t = 0 to t = 6 s.

b.  

 Find the ball's position every second from t = 0 to t = 6 s.

c.  

 During this time period, at how many different instants does the ball have a speed of 2 m/s?

d.  

 During this time period, at how many different instants does the ball have a speed of 6 m/s?



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