A ball is thrown vertically upward with an initial velocity of 96 feet per second.The distance s (in feet) of the ball from the ground after t seconds is .
(a) At what time t will the ball strike the ground?
(b) For what time t is the ball more than 128 feet above the ground?
We have a ball is thrown vertically upward with an initial velocity of 96 feet per second.The distance s (in feet) of the ball from the ground after t seconds is .
a) we have
since the distance from the ground is s(t) so we have
the ball is on the ground at t=0 seconds and t=6 seconds when the ball is thrown and when the ball lands.
So, the ball strikes the ground after 6 seconds.
b) when is so putting this value in the function then we have
that is between 2 seconds and 4 seconds.
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