Question 1101831: a swimmer jumps off a high dive from a height of 30 ft. there is an initial upward velocity of 14 ft /s. the equation h=-4t + c can be used to model the path of the swimmer, where h is the height in feet after t seconds; v is the initial velocity, and c is the initial height. find out how many seconds it will take the swimmer to enter the water
Answer by jorel1380(3719)   (Show Source):
You can put this solution on YOUR website! Actully, the formula for gravity is -16 ft/sē, so the swimmers height can be modeled by h(t)=-16tē+14t+30. When the swimmer hits the water, h(t)=0. So:
0=-16tē+14t+30
Then:
16tē-14t-30=0
8tē-7t-15=0
(8t-15)(t+1)=0
t=15/8 or -1
Since time can't be negative, the swimmer enters the water after 15/8, or 1.875 seconds.
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