Which graph correctly shows the velocity as a function of time for the ball?

1. Graph 1 (9/38) (24%)
2. Graph 2 (2/38) (5%)
3. Graph 3 (19/38) (50%)
4. Graph 4 (8/38) (21%)

(a) How high does it go?

At the very top of its flight, the ball has an instantaneous velocity of zero. We can plug v = 0 and y_o = 0 into the equation:

v² = v_o² + 2 a (y - y_o)

This gives:

y

=

-vo2 2a

=

-144 -19.6

=

7.35 m

The ball goes 7.35 m high.