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Two particles are projected from the sam...

Two particles are projected from the same point, with the same speed, in the same vertical plane, at different angles with the horizontal.A frame of references is fixed to one particle.The position vector of the other particle as observed from this frame is `vecr`Which of the following statements are corrects?

A

The direction of ` vecr` changes with time

B

The magnitude of ` vecr` remains constant with time

C

The magnitude of `vecr` remains same , with time

D

The magnitude of ` vecr` increases linearly with time

Text Solution

Verified by Experts

The correct Answer is:
C, D
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Knowledge Check

  • Two particles are projected simultaneously from the same point, with the same speed, in the same vertical plane, and at different angles with the horizontal in a uniform gravitational field acting vertically downwards. A frame of reference is fixed to one particle. The position vector of the other particle , as observed from this frame, is vecr . Which of the following statement is correct?

    A
    `vecr` is a constant vector.
    B
    `vecr` changes in magnitude as well as direction with time.
    C
    The magnitude of `vecr` increases linearly with time, its direction does not change.
    D
    The direction of `vecr` changes with time, its magnitude may or may not change, depending on the angles of projection.

  • Two particles are projected simultaneously with same speed V_0 in same vertical plane at angle 30^@ and 60^@ With the horizontal .The time at which their velocities becomes parallel is

    A
    `V_0/(2g)`
    B
    `V_0((sqrt(3)+1)/(2g))`
    C
    `(sqrt(3)V_0)/(2g)`
    D
    `(V_0(sqrt(3)-1))/g`

  • Two particles are projected from the same point with the same speed at different angles theta_1 & theta_2 to the horizontal. They have the same range. Their times of flight are t_1 & t_2 respectily

    A
    `(t_1)/(t_2)=tan^2theta_1`
    B
    `(t_1)/(sintheta_1)=(t_2)/(costheta_2)`
    C
    `(t_1)/(t_2)=tantheta_1`
    D
    `(t_1)/(t_2)=tan^2theta_2`