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March 27, 2017

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A place kicker must kick a football from a point 25.5 m from the goal, and must clear a crossbar that is 3 m off the ground. When kicked the ball leaves the ground with a speed of 21.9 m/s at an angle of 54o to the horizontal. By how much does the ball clear the crossbar?

  • Physics - ,

    The bar reaches the goal post in time
    t = 25.5/(Vo*cos54) = 1.981 seconds

    Vo is the initial velocity of the football.

    Calculate the height of the ball at that time, using the appropriate formula (which you should know or derive),

    y = Vo*sin54*t - (g/2)*t^2
    = 35.10 - 19.23 = 15.87 m

    and subtract 3 m from that.

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