SOLUTION: Time in the air. A ball is tossed into the air from a height
of 12 feet at 16 ft/sec. How long does it take to reach the
earth?
Algebra.Com
Question 197687: Time in the air. A ball is tossed into the air from a height
of 12 feet at 16 ft/sec. How long does it take to reach the
earth?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Time in the air.
A ball is tossed into the air from a height of 12 feet at 16 ft/sec.
How long does it take to reach the earth?
:
The equation: -16t^2 + 16t + 12 = h
where
-16t^2 = gravity pulling down
+16t = initial velocity upward
12 = initial height when ball is tossed
h = height in feet
:
h = 0 when it strikes the ground
:
-16t^2 + 16t + 12 = 0
Use the quadratic formula:
In this problem x = t; a=-16; b=+16; c=12
:
:
;
The positive solution
t =
t = +1.5 seconds to strike the earth
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