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March 27, 2017

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a football is kicked with a speed of 15m/s
at an angle of 35 degree from the ground.


a. how high is the ball from the ground at t=0.400s?
b. how fast is it moving(s) after being kicked?
c. at what t-values is the ball 2m from the ground?

  • science - ,

    Vo = 15m/s @ 35deg.
    Xo = hor. = 15cos35 = 12.29m/s.
    Yo = ver. = 15sin35 = 8.60m/s.

    a. h = Yo*t + 0.5g*t^2,
    h = 8.60*0.4 - 4.9*(0.4)^3 = 2.66m.

    b. Vo = 15m/s.

    c. d = Yo*t - 4.9*t^2 = 2m,
    8.60t - 4.9t^2 = 2,
    -4.9t^2 + 8.6t - 2 = 0.
    Tr = o.27594s. = Time to rise to 2m above ground. Use Quadratic Formula and choose shortest time.

    hmax = (Yf^2 - Yo^2) / 2g,
    hmax=(0 - (8.60)^2) / -19.6 = 3.77m.

    d = Yo*t + 4.9t^2 = 3.77 - 2 = 1.77m.
    0 + 4.9t^2 = 1.77,
    t^2 = 0.361,
    Tf = 0.60s = Time to fall to 2m. above ground.

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