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Two projectiles are projected with veloc...

Two projectiles are projected with velocity `v_(A), v_(B)` at angles `theta_(A)` (from horizontal) and `theta_(B)` (from vertical) as shown in the figure below, such that `v_(A) gt v_(B)` but having same horizontal component of velocity. Which of the following is correct ?

A

`T_(A) gt T_(B)`

B

`H_(A) gt H_(B)`

C

`R_(A) gt R_(B)`

D

`R_(B) gt R_(A)`

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Two projectiles are projected with velocity v_(A), v_(B) at angles theta_(A) (from horizontal) and theta_(B) (from vertical) as shown in the figure below, such that v_(A) gt v_(B) but having same horizontal component of velocity. Which of the following can be correct ?

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Knowledge Check

  • A projectile is projected with a velocity v_(0) at an angle theta with the horizontal as shown in figure. The angular momentum of particle about the origin:

    A
    is zero when particle is at the origin
    B
    is `(-mv^(3) sin^(2) theta cos theta)/(2g) hatk` when particle is at the highest point of trajectory
    C
    is `(-2mv^(2) sin^(2) theta cos theta)/g hatk` when particle is just about to hit ground
    D
    downward force of gravity exerts a torque in `-z` direction.

  • A projectile is projected with a velocity u at an angle theta with the horizontal. For a fixed theta , which of the graphs shown in the following figure shows the variation of range R versus u?

    A
    B
    C
    D

  • Two particles of equal mass 'm' are projected from the ground with speed v_(1) and v_(2) at angles theta_(1) and theta_(2) at the same times as shown in figure. The centre of mass of the two particles.

    A
    will move in a vertical line if `v_(1) tan theta=v_(2) tan theta_(2)`
    B
    will move in a vertical line if `v_(1) sin theta=v_(2) sin theta_(2)`
    C
    will move In a vertical line if `v_(1) cot theta_(1)=v_(2) cot theta_(2)`
    D
    will move in a vertical line if `v_(1) cos theta_(1) =v_(2) cos theta_(2)`

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