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Two particles are projected simultaneous...

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.

Text Solution

Verified by Experts

The correct Answer is:
C
c.
A is fixed and B moves in the direction as shown in figure.
w.r.t A with constant velocity.
Direction of `vecr` remains same and magnitude changes with time
linearly.
Here velocity of B w.r.t. A is constant because relative
acceleration is zero.
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Knowledge Check

  • 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?

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    direction of `vecr` does not change
    B
    `vecr` changes in magnitudes and direction with time
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    The magnitude of `vecr` increases linearly with time
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  • 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)`
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    `V_0((sqrt(3)+1)/(2g))`
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  • Two particles are projected simultaneously with the same speed v in the same vertical plane with angles of elevation theta , and 2theta , where theta lt 45^(@) .At what time will velocities be parallel?

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