Suppose a baseball is thrown vertically upward from the ground with an initial velocity of Subscript[v, 0] ft/s. Its height above the ground after t seconds is given by s(t)=-16 t^2+Subscript[v, 0]t. Determine the initial velocity of the ball if it reaches a high point of 128 ft.

90.5

Step-by-step explanation:

Velocity is a time-derivative of displacement or the height, in this case.

At maximum height, the velocity is 0 and the height is 128.

Substitute these values into both equations above,

From the first equation,

Substitute for .

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step-by-step explanation:

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answer: -8.2562234e+13