# Relative Position

## Trending Questions

**Q.**

Two bodies move toward each other from 10 m apart with a constant velocity they meet at C after 2s. What is the displacement of A w.r.t. B?

10 m

-4 m

4 m

-10 m

**Q.**

Two bodies move towards each other from 10 m apart with a constant velocity they meet at C after 2s. What is the displacement of B w.r.t. A?

10 m

-10 m

6 m

-6 m

**Q.**Two stones are thrown up simultaneously with initial speeds of u1 and u2 (u2>u1). They hit the ground after 6 s and 10 s respectively. Which graph in figure correctly represents the time variation of Δx=(x2−x1), the relative position of the second stone with respect to the first upto t=10 s?

Assume that the stones do not rebound after hitting the ground.

**Q.**The graph shown illustrates velocity versus time for two cars A and B constrained to move in a straight line. Both cars were at the same position at t=0 s. Consider the following statements.

(1) Car A is travelling west, and Car B is travelling east.

(2) Car A overtakes Car B at t=5 s

(3) Car A overtakes Car B at t=10 s .

Which of the following is correct?

- Only statement 1 and 2 are true
- Only statement 1 is true
- Only statement 2 is true
- Only statement 3 is true

**Q.**A bus starts moving with acceleration 2 ms−2. A cyclist 96 m behind the bus starts simultaneously toward the bus at a constant speed of 20 m/s. After some time, the bus will be left behind. If the bus continues moving with the same acceleration, after what time from the beginning, the bus will overtake the cyclist?

- 10 s
- 12 s
- 14 s
- 16 s

**Q.**A stone is allowed to fall from the top of a tower 100 m high and at the same time, another stone is projected vertically upwards from the ground with a velocity of 25 ms−1. The two stones will meet after

- 4 s
- 0.4 s
- 0.04 s
- 40 s

**Q.**Two bodies A and B are thrown simultaneously. A is projected vertically upwards with 20 m/s speed from the ground and B is projected vertically downwards from a height of 40 m at the same speed and along the same line of motion. At what point do the two bodies collide?

(g=10 m/s2)

- 10 m from ground
- 15 m from ground
- 20 m from ground
- 25 m from ground

**Q.**Two cars start off to race with velocities 4 m/s and 2 m/s and travel in a straight line with uniform accelerations 1 m/s2 and 2 m/s2 respectively. If they reach the final point at the same time instant, then what is the length of the path?

- 12 m
- 18 m
- 24 m
- 30 m

**Q.**One body is dropped, while a second body is thrown downward with an initial velocity of 1 ms−1 simultaneously. After what time separation between the two bodies is 18 m?

- 4.5 s
- 9 s
- 18 s
- 36 s

**Q.**A lift starts moving up with an acceleration of 5 ms−2, and at the same instant a ball is dropped from a height of 1.25 m. The time taken by the ball to reach the floor of the lift is (nearly)

(g=10 ms−2)

- 0.3 second
- 0.2 second
- 0.16 second
- 0.4 second