Conservation of Energy

1. The problem statement, all variables and given/known data

A shot putter throws her shot. At the moment the 4.00 kg weight leaves her hand, it as a velocity of 14.0 m/s and is 2.00 m above the ground. The weight reaches a maximum height of 6.50 m above the ground before falling back down.

What is the magnitude of the weighted ball’s velocity at the peak of its trajectory?

2. Relevant equations

Ek = (0.5)(m)(v2)
Ep = (m)(g)(h)

3. The attempt at a solution

(0.5)(m)(v2) initial + (m)(g)(h) initial = (0.5)(m)(v2) final+ (m)(g)(h) final

(0.5)( 14 m/s)2 + (2 m)(9.8 m/s2) = (0.5)(v2) + (9.8 m/s2)(6.5 m)

Vpeak = 5.19 m/s

I don’t know if this is correct… isn’t the velocity at the peak supposed to be zero as all the energy is potential.

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