The upward velocity of the water in the stream of a particular fountain is given by the formula v = -32t + 28, where t is the number of secondds after the water leaves the fountain. While going upward, the water slows down until, at the top of the stream, the water has a velocity of 0 feet per second. How long does it take a droplet of water to reach the maximum height?

Answer 1

If v=0
0=-32t+28
solve for t.

Answer 2

t= number of seconds after water leaves the fountain
v=-32t+28 where v=0
So, 0=-32t+28
32t=28
t=28/32
t=0.875