# A girls throws a tennis ball straight into the air with a velocity of 64 feet/sec. If acceleration due to gravity is -32 ft/sec2, how many seconds after it leaves the girl’s hand will it take the ball to reach its highest point? Assume the position at time t = 0 is 0 feet.

1.  Choose the appropriate table for the differential equation . (4 points)
 x 0 0.5 2 0 undefined
 x 0 0.5 2 undefined -1 undefined
 x 0 0.5 2 0 -3 0
Cannot be found without solving the differential equation
2.  A differential equation that is a function of x only (4 points)
 will produce a slope field with parallel tangents along the diagonal will produce a slope field that does not have rows or columns of parallel tangents will produce a slope field with rows of parallel tangents will produce a slope field with columns of parallel tangents
3.  The differential equation . (4 points)
I.will have a slope field with negative slopes in quadrant I II.will have a slope field with positive slopes in all quadrants III.will produce a slope field with columns of parallel tangents
 I only II only III only None of these
4.  Which of the following differential equations is consistent with the following slope field? (4 points)    5.  The differential equation . (4 points)
I. produces a slope field with horizontal tangents at y = 4 II. produces a slope field with horizontal tangents at x = 0 III. produces a slope field with vertical tangents at x = 0 and y = 4
 I only II only I and II III only 