A particle moves along a straight line and its position as function of time is given by x=t3-3t2+3t+3 then particle

(A)  stops at t=1s and reverses its direction of motion

(B)  stops at t=1s and continues further without change of direction

(C)  stops at t=2s and reverses its direction of motion

(D)  stops at t=2s and continues further without change of direction

Concept Questions :-

Instantaneous speed and instantaneous velocity
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A particle moves in a straight line, according to the law x=4at+a sinta , where x is its position in meters, t is in sec & a is some constant, then the velocity is zero at :

(A)  x=4a2π meters

(B)  t=π sec

(C)  t=0 sec

(D)  none

Concept Questions :-

Instantaneous speed and instantaneous velocity
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A point moves in a straight line so that its displacement is x m at time t sec, given by x2=t2+1. Its acceleration in m/s2 at time 1 sec is:

(A)  1x

(B)  1x-1x3

(C)  1x3

(D)  -t2x3

Concept Questions :-

Acceleration
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The motion of a body is given by the equation, dvdt=4-2v where v is the speed in m/s and t in second. If the body was at rest at t=0, then find speed of body as a function of time.

1. 2(1-e-2t)

2. 1-e-2t

3. 2(1+e-2t)

4. 1-e-t

Concept Questions :-

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The coordinate of an object is given as a function of time by x=7t-3t2, where x is in meters and t is in seconds. Its average velocity over the interval from t=0 to t=4 is:

(A)  5 m/s

(B)  -5 m/s

(C)  11 m/s

(D)  -11 m/s

Concept Questions :-

Average speed and average velocity
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A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 ms-1 to 20 ms-1 while passing through  a distance 135 m in t second . The value of t is 

(a) 10

(b) 1.8 

(c) 12

(d) 9

Concept Questions :-

Uniformly accelerated motion
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A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point :

1. B

2. C

3. D

4. A

Concept Questions :-

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The distance travelled by a particle starting from rest and moving with an acceleration 43ms-2, in the third second is 

(a) 6m                             (b) 4m

(c) 103m                         (d) 193m

Concept Questions :-

Distance and displacement
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A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 s is s1 and that covered in the first 20 s is s2, then

(a) s2=2s1                                     (b) s2=3s1

(c) s2=4s1                                      (d) s2=s1

Concept Questions :-

Uniformly accelerated motion
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A bus is moving with a speed of 10 ms -1 on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what minimum speed should the scooterist chase the bus?

1. 20 ms-1                                         2. 40 ms-1

3. 25 ms-1                                         4. 10 ms-1

Concept Questions :-

Relative motion in 1-D
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