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A rock is tossed straight up with a velocity of 37.1 m/s. When it returns, it falls into a hole 18.8 m deep. What is the rock's velocity as it hits the bottom of the hole?
The gain in kinetic energy equals the loss of potential energy.
(1/2) M (V2^ - V1^2) = M g *(18.8)

The mass M cancels out and V1 = 37.1 m/s is the initial velcoity

Solve for V2, the final velocity

V2^2 = 2 g*18.8 + V1^2
My attempt:
V2^2 = 2(9.8m/s)(18.8) + 37.1m/s
= 19.6(18.8) + 37.1
= 368.48 + 37.1
= 405.6 m/s

What am I doing wrong in my calculation?

  • physics -

    You did not square V1, as required by the formula

  • physics -

    The answer is 1744.89 m/s

    That's a little fast. Should I Square root this answer?

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