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a soccer player kicked a ball at an angle of 37degree to the horizontal.if the range covered by the ball is 240.3m calculate (a).the initial velocity of projection(.b).the time of flight.(c).the maximum time attained

  • mechanics -

    a. Range = V0^2*sin(2A)/g = 240.3 m.
    Vo^2*sin(74)/9.8 = 240.3
    Vo^2*sin(74) = 2354.94
    Vo^2 = 2354.94/sin(74) = 2449.84
    Vo = 49.5 m/s. = Initial velocity.

    b. Range = Vo*cosA * T = 240.3
    T=240.3/Vo*cosA=240.3/49.5*cos37=3.88 s.
    = Time of flight.

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