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Motion in a Plane

JEE Main 2025 (Online) 7th April Morning ShiftMCQEasy📈 Topic in 33% papers+4−1
Ques. 1JEE Main 2025, 7 April (Morning Shift)

Two projectiles are fired from ground with same initial speeds from same point at angles (45 + ) and (45 - ) with horizontal direction. The ratio of their times of flights is

  1. 1 + 1 -
  2. 1 + 2 1 - 2
  3. 1 - 1 +
  4. 1

Answer

(1) 1 + 1 -

Solution

Time of flight: T = 2u g

⇒ T1T2 = (45 + ) (45 - )

= 45 + 45 45 - 45

= + -

Dividing numerator and denominator by :

T1T2 = 1 + 1 -

Answer: (1)

Keep practising — Motion in a Plane

Ques. 2JEE Main 2025, 7 April (Evening Shift)

A helicopter flying horizontally with a speed of 360 km/h at an altitude of 2 km, drops an object at an instant. The object hits the ground at a point O, 20 s after it is dropped. Displacement of 'O' from the position of helicopter where the object was released is : (use acceleration due to gravity g = 10 m/s2 and neglect air resistance)

  1. 7.2 km
  2. 2 5 km
  3. 2 2 km
  4. 4 km
Ques. 3JEE Main 2025, 4 April (Morning Shift)

If L and P represent the angular momentum and linear momentum respectively of a particle of mass 'm' having position vector as r = a( i t + j t). The direction of force is

  1. Opposite to the direction of L
  2. Opposite to the direction of L P
  3. Opposite to the direction of r
  4. Opposite to the direction of P
Ques. 4JEE Main 2025, 3 April (Morning Shift)

The angle of projection of a particle is measured from the vertical axis as and the maximum height reached by the particle is hm. Here hm as function of can be presented as

  1. [figure]
  2. [figure]
  3. [figure]
  4. [figure]
Ques. 5JEE Main 2025, 3 April (Evening Shift)

A particle is projected with velocity u so that its horizontal range is three times the maximum height attained by it. The horizontal range of the projectile is given as nu225g, where value of n is: (Given, 'g' is the acceleration due to gravity.)

  1. 6
  2. 12
  3. 18
  4. 24
Ques. 6JEE Main 2025, 2 April (Morning Shift)

A river is flowing from west to east direction with speed of 9 km h-1. If a boat capable of moving at a maximum speed of 27 km h-1 in still water, crosses the river in half a minute, while moving with maximum speed at an angle of 150 to direction of river flow, then the width of the river is :

  1. 112.5 m
  2. 75 m
  3. 300 m
  4. 112.5 3 m
Ques. 7JEE Main 2025, 29 January (Morning Shift)

Two projectiles are fired with same initial speed from same point on ground at angles of (45 - ) and (45 + ), respectively, with the horizontal direction. The ratio of their maximum heights attained is :

  1. 1+ 1-
  2. 1+ 2 1- 2
  3. 1- 1+
  4. 1- 2 1+ 2
Ques. 8JEE Main 2025, 29 January (Morning Shift)

The maximum speed of a boat in still water is 27 km/h. Now this boat is moving downstream in a river flowing at 9 km/h. A man in the boat throws a ball vertically upwards with speed of 10 m/s. Range of the ball as observed by an observer at rest on the bank is cm. (Take g = 10 m/s2)

Ques. 9JEE Main 2025, 24 January (Evening Shift)

The position vector of a moving body at any instant of time is given as r= (5t2 i-5t j ) m. The magnitude and direction of velocity at t=2 s is,

  1. 5 17 m/s, making an angle of -14 with -ve Y axis
  2. 5 15 m/s, making an angle of -14 with +ve X axis
  3. 5 17 m/s, making an angle of -14 with +ve X axis
  4. 5 15 m/s, making an angle of -14 with -ve Y axis
Ques. 10JEE Main 2025, 23 January (Morning Shift)

Two particles are located at equal distance from origin. The position vectors of those are represented by A=2 i+3n j+2 k and B=2 i-2 j+4p k, respectively. If both the vectors are at right angle to each other, the value of n-1 is .

Ques. 11JEE Main 2025, 23 January (Evening Shift)

A ball having kinetic energy KE, is projected at an angle of 60 from the horizontal. What will be the kinetic energy of ball at the highest point of its flight?

  1. (KE)2
  2. (KE)8
  3. (KE)4
  4. (KE)16

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