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A projectile is fired from a horizontal frictionless ground. Coefficient of restitution between the projectile and the ground is e. If `T_(1), H_(1), R_(1), v_(1), T_(2), H_(2), R_(2), v_(2)`, are time flight, mmaximum height, range, horizontal velocities in first two collisions, then match the following.

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`(A)to q, (B)to p, (C )to q, (D)to s`
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Knowledge Check

  • A projectile is fixed on a horizontal ground. Coefficient of restitution between the projectile and the ground is 'e'. If a,b and c be the ration of time of flight [(T_(1))/(T_(2))] , maximum height [(H_(1))/(H_(2))] and horizontal range [(R_(1))/(R_(2))] in first two collisions with the ground, then

    A
    `a = (1)/( e)`
    B
    `b = (1)/(e^(2))`
    C
    `c = (1)/( e)`
    D
    `1,2, & 3`

  • A ball is dropped on a horizontal surface from height h. If it rebounds upto h/2 after first collision then coefficient of restitution between ball and surface is

    A
    `1 sqrt2`
    B
    `1/2`
    C
    `1/4`
    D
    `1/2 + sqrt2`

  • A projectile can have the same range R for two angles of projection. If t_(1) and t_(2) be the times of flight in the two cases:-

    A
    `t_(1)t_(2)propR^(2)`
    B
    `t_(1)t_(2)propR`
    C
    `t_(1)t_(2)prop(1)/(R)`
    D
    `t_(1)t_(2)prop(1)/(R_(2))`

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