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a particle is projected vertically upward with the velocity u m/s and after t(s) another particle is projected upwards from the same point and with the same initial velocity. proof that the particle will meet after a lapes of (u/g + t/2)seconds from the instance of the first particle.

  • science -

    Using t for time, and s for the delay,

    ut - (g/2)t^2 = u(t-s) - (g/2)(t-s)^2
    ut - (g/2)t^2 = ut - us + gst - (g/2)t^2 - (g/2)s^2
    -(g/2)s^2 - us + gst = 0
    gst = us + (g/2)s^2
    t = u/g + s/2

    reverting to the t notation originally used, ta-da!

  • science -

    thank u very much steve...am grateful

  • science -

    Thanks bro

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