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Q.

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 r→. Which of the following statement is correct?

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a

r→ is a constant vector

b

r→ changes in magnitude as well as direction with time.

c

The magnitude of r→ increases linearly with time; its direction does not change.

d

The direction of r→ changes with time, its magnitude may or not change, depending on the angles of projection

answer is C.

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Detailed Solution

A is fixed and B moves in the direction as shown in figure. w.r.t. ,A with constant velocity.Direction of r→ remains same and magnitude changes with time' linearlyHere velocity of B w.r.t. A is constant because relative acceleration is zero.

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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 r→. Which of the following statement is correct?