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Motion in a Plane · Question 47

AIPMT 2002MCQEasy📈 Topic in 38% papers+4−1
1

A particle A is dropped from a height and another particle B is projected in horizontal direction with speed of 5 m/sec from the same height then correct statement is

  1. particle A will reach at ground first with respect to particle B
  2. particle B will reach at ground first with respect to particle A
  3. both particles will reach at ground simultaneously
  4. both particles will reach at ground with same speed.

Answer

(3) both particles will reach at ground simultaneously

Solution

For both particles the initial vertical velocity is zero and the vertical acceleration is g.

Time to fall through height h: t = 2hg for both

Both reach the ground simultaneously.

(B has an extra horizontal velocity of 5 m/s, so its speed on reaching the ground is greater; (4) is wrong.)

Answer: (3)

AIPMT 2002

Keep practising — Motion in a Plane

2

If | A + B | = | A | + | B |, then angle between A and B will be

  1. 90
  2. 120
  3. 0
  4. 60
AIPMT 2001
3

Two particles having mass M and m are moving in a circular path having radius R and r. If their time periods are the same, then the ratio of their angular velocities will be

  1. rR
  2. Rr
  3. 1
  4. Rr
AIPMT 2001
4

A particle is projected making an angle of 45 with horizontal having kinetic energy K. The kinetic energy at highest point will be

  1. K 2
  2. K2
  3. 2K
  4. K
AIPMT 2001
5

The width of river is 1 km. The velocity of boat is 5 km/hr. The boat covered the width of river along the shortest path in 15 min. Then the velocity of river stream is

  1. 3 km/hr
  2. 4 km/hr
  3. 29 km/hr
  4. 41 km/hr
AIPMT 2000
6

Two projectiles of same mass and with same velocity are thrown at an angle 60 and 30 with the horizontal, then which will remain same

  1. time of flight
  2. range of projectile
  3. maximum height acquired
  4. all of them
AIPMT 2000

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