The position of a particle moving along x-axis is given by x=10t-2t2. Then the time (t) at which it will momently come to rest is

1. 0

2. 2.5 s

3. 5 s

4. 10 s

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 87%
From NCERT
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If the displacement of a particle varies with time as x=t+7, then

(1) Velocity of the particle is inversely proportional to t

(2) Velocity of the particle is proportional to t2

(3) Velocity of the particle is proportional to t

(4) The particle moves with constant acceleration.

Subtopic:  Acceleration |
 73%
From NCERT
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The initial velocity of a particle is u (at t=0) and the acceleration a is given by αt3/2. Which of the following relations is valid?

(1) v=u+αt3/2

(2) v=u+3αt32

(3) v=u+25αt5/2

(4) v=u+αt5/2

Subtopic:  Acceleration |
 59%
From NCERT
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The position x of a particle moving along the x-axis varies with time t as x=A sin(ωt) where A and ω are positive constants. The acceleration a of the particle varies with its position (x) as

(1) a = Ax

(2) a=-ω2x

(3) a=Aωx

(4) a=ω2×A

Subtopic:  Acceleration |
 86%
From NCERT
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A particle moves in a straight line and its position x at time t is given by x= 2 + t. Its acceleration is given by

(1) -2x3

(2) -12x2

(3) -14x3

(4) 1x2

Subtopic:  Acceleration |
 61%
From NCERT
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A body is moving with variable acceleration (a) along a straight line. The average acceleration of the body in time interval t1 to t2 is

(1) at2+t12

(2) at2-t12

(3) t1t2adtt2+t1

(4) t1t2adtt2-t1

Subtopic:  Acceleration |
 63%
From NCERT
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The position of a particle moving along the x-axis given by x=-2t3+3t2+5m. The acceleration of a particle at the instant its velocity becomes zero is

(1) 12 m/s2

(2) -12 m/s2

(3) -6  m/s2

(4) Zero

Subtopic:  Acceleration |
 77%
From NCERT
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A particle moves with velocity v1 for time t1 and v2 for time t2 along a straight line. The magnitude of its average acceleration is:

1. v2-v1t1-t2

2. v2-v1t1+t2

3. v2-v1t2-t1

4. v1+v2t1-t2

Subtopic:  Acceleration |
 54%
From NCERT
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A particle starts moving with acceleration 2 m/s2. Distance travelled by it in 5th half-second is-

(1) 1.25 m

(2) 2.25 m

(3) 6.25 m

(4) 30.25 m

Subtopic:  Uniformly Accelerated Motion |
 57%
From NCERT
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The two ends of a train moving with constant acceleration pass a certain point with velocities u and 3u. The velocity with which the middle point of the train passes the same point is

(1) 2u

(2) 32u

(3) 5u

(4) 10u

Subtopic:  Uniformly Accelerated Motion |
 67%
From NCERT
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