physics

1. The best leaper in the animal kingdom is the puma, which can jump to a height of 12 ft when leaving the ground at an angle of 45°. With what speed, in SI units, must the animal leave the ground to reach that height?

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  1. (Vo sin45)^2 = 2 g H
    Vo^2 = 4 g H
    Vo = 2 sqrt(g H)
    g = 32.2 ft/s^2
    Vo = 78.4 ft/s = 53.5 mph

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  2. 0 = (Vcos45)^2 + 2 (-32) 12
    v^2 (1/2) = 768
    v^2 = 1536
    v = 39.2 ft/s
    v = 12 m/s

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  3. SCB is correct. I made a mistake calculating Vo.
    Vo = 39.3 m/s

    sin and cos 45 are the same, but in general the sine of the angle from horizontal should be used.

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  4. 8.49

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