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Is it possible to find velocity without time?

I'm doing a physics project about the velocity of a person falling off the tip of the Titanic. If a man back then who was averaged weighed about 70 kg, gravity is obviously 9.8, and the Titanic's length was 68.58 m, can I find velocity without time? Or if not, how do I find time?

Update:

P.S. I meant height, NOT length.

1 Answer

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  • 1 decade ago
    Favorite Answer

    Yes. The work done by gravity is equal to the change in kinetic energy (KE) of the falling body. (Or soon-to-be body, for a man falling off the Titanic.) Assuming the man starts from rest with v0=0, then the change in KE is equal to the final KE, which is (1/2)mv^2. The work done by gravity is mgh, so equate these to get:

    mgh = (1/2)mv^2

    v = sqrt(2gh)

    (If initial velocity wasn't 0, you have v = sqrt(2gh + v0^2)...try to work out why.)

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