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A small ball is launched directly upward from ground level with an initial velocity of 12 m/s. What is the ball's maximum height above the ground? (Assume no air resistance.)
 

 Apr 28, 2016
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Use the formula:

\(v^2=u^2+2as\)

Where v is final velocity, u is intitial velocity, a is acceleration, and s is distance.

v = 0 because the ball will stop moving upwards as it reaches it's peak height.

u = 12m/s as given in the question.

a = -9.81m/s/s because gravity is the force acting against the ball.

s is what we want to find.

\(0^2=12^2+2\times-9.81\times s\)

\(s=7.3m\)

 Apr 28, 2016

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