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Motion in a Straight Line

JEE Main 2024 (Online) 30th January Morning ShiftNumericalMedium📈 Topic in 16% papers+4
Ques. 1JEE Main 2024, 30 January (Morning Shift)

The displacement and the increase in the velocity of a moving particle in the time interval of t to (t+1) s are 125 m and 50 m/s, respectively. The distance travelled by the particle in (t+2)th s is m.

Answer

175

Solution

Uniform acceleration: a= v t= 501=50 m/s2

In t t+1: 125=vt(1)+ 12(50)(1)2 vt=100 m/s

At t+1: v=100+50=150 m/s

Next second (t+1 t+2): s=150(1)+ 12(50)(1)2

=175 m

Answer: 175

Keep practising — Motion in a Straight Line

Ques. 2JEE Main 2024, 29 January (Morning Shift)

A body starts moving from rest with constant acceleration covers displacement S1 in first (p-1) seconds and S2 in first p seconds. The displacement S1+S2 will be made in time :

  1. (2p+1) s
  2. (2p-1) s
  3. (2p2-2p+1 )s
  4. (2p2-2p+1 ) s
Ques. 3JEE 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
Ques. 4JEE 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. 5JEE 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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