A ball is thrown vertically upward, which is the positive direction. A little la

Question

A ball is thrown vertically upward, which is the positive direction. A little later it returns to its point of release. The ball is in the air for a total time of 8.06 s. What is its initial velocity? Neglect air resistance.

Explanation / Answer

Let; Final Velocity = Vf = 0 m/s --------------> (Vf = 0 because ball's speed at its max height is 0) Initial Velocity = Vi = ? Total time (upward & downward) = 8.06 seconds * Time upward = 4.03 seconds & ................( As time for ball upward & downward is equal ) * Time downward = 4.03 seconds.. Gravitational Acceleration = g = -9.8 m/s² Use Equation; Vf = Vi - gt 0 = Vi - 9.8 * 4.03 0 = Vi - 39.494 39.494 = Vi => Vi = Initial Velocity = 39.494 m/s

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