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13 December, 19:22

A football is place kicked with a velocity having a vertical component of 12 m/s and a horizontal component of 6 m/s. Find the resultant velocity. What is the angle of release with respect to the horizontal?

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  1. 13 December, 19:45
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    The velocity is given by:

    V = √ (Vx²+Vy²)

    V = velocity, Vx = horizontal velocity, Vy = vertical velocity

    Given values:

    Vx = 6m/s, Vy = 12m/s

    Plug in and solve for V:

    V = √ (6²+12²)

    V = 13.42m/s

    Now find the direction:

    θ = tan⁻¹ (Vy/Vx)

    θ = angle of velocity off horizontal, Vy = vertical velocity, Vx = horizontal velocity

    Given values:

    Vx = 6m/s, Vy = 12m/s

    Plug in and solve for θ:

    θ = tan⁻¹ (12/6)

    θ = 63.4°

    The resultant velocity is 13.42m/s at an angle of 63.4° off the horizontal.
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