SOLUTION: A ball is dropped from a cliff that is 416 feet high. The distance S​ (in feet) that it falls in t seconds is given by the formula Sequals16tsquared. How many seconds​

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A ball is dropped from a cliff that is 416 feet high. The distance S​ (in feet) that it falls in t seconds is given by the formula Sequals16tsquared. How many seconds​       Log On


   



Question 1110730: A ball is dropped from a cliff that is 416 feet high. The distance S​ (in feet) that it falls in t seconds is given by the formula Sequals16tsquared. How many seconds​ (to tenths) will it take for the ball to hit the​ ground?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A ball is dropped from a cliff that is 416 feet high.
The distance S​ (in feet) that it falls in t seconds is given by the formula Sequals16tsquared.
How many seconds​ (to tenths) will it take for the ball to hit the​ ground?
:
s = -16t^2 + 416 is the equation
When the ball hits the ground s = 0
-16t^2 + 416 = 0
-16t^2 = -416
divide both sides by -16
t^2 = 26
t = sqrt%2826%29
t = 5.1 sec