Physical Education

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Two bodies are thrown vertically upwards with the same initially velocity of 98metre/sec but 4 sec apart.How long after is thrown will they meet?

  • Physics -

    In the United States,
    "physical education" is the class devoted to exercise, fitness and sports. Your question is about physics.

    Starting at t=0 when the first body is thrown, the height is
    Y1 = 98t - 4.9 t^2. The second body's height, measured from the same t, is
    Y2 = 98(t-4) - 4.9 (t-4)^2 (t>4)

    Set the two equal and solve for t.

    98t - 4.9 t^2 = 98(t-4) - 4.9 (t-4)^2

    0 = -392 +4.9(8t)-16*4.9
    39.2 t = 392 + 78.4 = 470.4
    t = 12.0 seconds

    The height at that time, for both objects, is 470.4 m

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