SOLUTION: A ball is thrown vertically upward from the ground with an initial velocity of 103 feet per second. When will the ball reach its maximum height?
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Question 1157130: A ball is thrown vertically upward from the ground with an initial velocity of 103 feet per second. When will the ball reach its maximum height? Answer by ikleyn(52775) (Show Source):
Looking from the Physics point of view, you simply write
t = ,
where g is the gravity acceleration (in ft/s^2), u is an initial velocity and t is the time to reach maximum height.
Substituting the data, you momentarily get
t = = 3.218 seconds.
Looking from the School Math/Algebra point of view, you write the equation for the height
h(t) = -16*t^2 + 103*t,
and from the general theory for the maximum value (vertex) of a parabola you get
t = = 3.218 seconds, i.e. the same answer.
