Velocity Problem

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A ball is thrown upward with an initial velocity of +9.8 m/s. How high does it reach before it starts descending?

Note: acceleration due to gravity= -9.8 m/s²

76.44 meters 4.9 meters Not enough information 9 meters

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1 solution

You solve it as if you are looking for the equivalent of x

Use the formula:

final velocity² = initial velocity² + 2(acceleration due to gravity)(distance)

Final velocity= 0

initial velocity= +9.8 m/s

acceleration due to gravity= 9.8 m/s

distance or d= ?

Solution

0² = (9.8)² + 2(-9.8)(d)

0=96.04 + -19.6d

19.6d=96.04

(Cancel the 19.6, leaving d= 96.04 ÷ 19.6)

d = 4.9 m e t e r s \boxed{d=4.9 meters}

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