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Motion in a Straight Line

JEE Main 2024 (Online) 29th January Evening ShiftMCQEasy📈 Topic in 16% papers+4−1
Ques. 1JEE Main 2024, 29 January (Evening Shift)

A particle is moving in a straight line. The variation of position 'x' as a function of time 't' is given as x= (t3-6t2+20t+15 )m. The velocity of the body when its acceleration becomes zero is :

  1. 6 m/s
  2. 10 m/s
  3. 8 m/s
  4. 4 m/s

Answer

(3) 8 m/s

Solution

v= dxdt=3t2-12t+20, a= dvdt=6t-12

a=0 t=2 s

v=3(2)2-12(2)+20=12-24+20=8 m/s

Velocity and acceleration are the first and second time-derivatives of position.

Answer: (3)

Keep practising — Motion in a Straight Line

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

A bullet is fired into a fixed target loses one third of its velocity after travelling 4 cm. It penetrates further D 10-3 m before coming to rest. The value of D is :

  1. 2
  2. 5
  3. 3
  4. 4
Ques. 3JEE Main 2024, 27 January (Evening Shift)

A body falling under gravity covers two points A and B separated by 80 m in 2 s. The distance of upper point A from the starting point is m (use g=10 ms-2).

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