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Motion in a Plane

JEE Main 2024 (Online) 27th January Morning ShiftMCQEasy📈 Topic in 5% papers+4−1
Ques. 1JEE Main 2024, 27 January (Morning Shift)

Position of an ant (S in metres) moving in Y-Z plane is given by S=2t2 j+5 k (where t is in second). The magnitude and direction of velocity of the ant at t=1 s will be :

  1. 16 m/s in y-direction
  2. 4 m/s in x-direction
  3. 9 m/s in z-direction
  4. 4 m/s in y-direction

Answer

(4) 4 m/s in y-direction

Solution

v= d Sdt= ddt (2t2 j+5 k )=4t j

the z-coordinate (5 m) is constant, there is no velocity along z.

At t=1 s: v=4 j m/s

4 m/s in y-direction

Answer: (4)

Keep practising — Motion in a Plane

Ques. 2JEE Main 2024, 27 January (Morning Shift)

A particle starts from origin at t = 0 with a velocity 5 i m/s and moves in x-y plane under action of a force which produces a constant acceleration of (3 i + 2 j) m/s2. If the x-coordinate of the particle at that instant is 84 m, then the speed of the particle at this time is m/s. The value of is .

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