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13 October, 11:38

The best leaper in the animal kingdom is the puma, which can jump to a height of 3.7 m when leaving the ground at an angle of 45°. With what speed must the animal leave the ground to reach that height?

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  1. 13 October, 11:43
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    Speed required is 12.05 m/s

    Explanation:

    Let the velocity of puma be a.

    Consider the vertical motion of puma

    We have equation of motion v² = u² + 2as

    Initial velocity, u = asin45

    Acceleration, a = - 9.81 m/s²

    Final velocity, v = 0 m/s

    Displacement, s = 3.7 m

    Substituting

    v² = u² + 2as

    0² = (asin45) ² + 2 x - 9.81 x 3.7

    a² = 145.19

    a = 12.05 m/s

    Speed required is 12.05 m/s
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