A particle moves along the x-axis as:
$$x=u(t-2)+a(t-2)^2$$

 a. the initial velocity of the particle is $$u.$$ b. the acceleration of the particle is $$a.$$ c. the acceleration of the particle is $$2a.$$ d. at $$t=2$$ s particle is at the origin.

Choose the correct option:

 1 (a) and (b) 2 (b) and (c) 3 (c) and (d) 4 (a) and (d)
Subtopic: Â Acceleration |
Â 54%
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Mark the correct statements for a particle going on a straight line:

 a. if the velocity and acceleration have opposite sign, the object is slowing down. b. if the position and velocity have opposite sign, the particle is moving towards the origin. c. if the velocity is zero at an instant, the acceleration should also be zero at that instant. d. if the velocity is zero for a time interval, the acceleration is zero at any instant within the time interval.

Choose the correct option:

 1 (a), (b) and (c) 2 (a), (b) and (d) 3 (b), (c) and (d) 4 all of these
Subtopic: Â Acceleration |
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The velocity of a particle is zero at t = 0.

(a) The acceleration at t = 0 must be zero

(b) The acceleration at t = 0 may be zero

(c) If the acceleration is zero from t = 0 to t = 10 s, the speed is also zero in this interval

(d) If the speed is zero from t = 0 to t = 10s the acceleration is also zero in this interval

Choose the correct option:

1. (a), (b) and (c)

2. (b), (c) and (d)

3. (c), (d) and (a)

4. (a), (b) and (d)

Subtopic: Â Acceleration |
Â 67%
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Mark the correct statements:

 1 The magnitude of the velocity of a particle is equal to its speed. 2 The magnitude of average velocity in an interval is equal to its average speed in that interval. 3 It is possible to have a situation in which the speed of a particle is always zero but the average speed is not zero. 4 It is possible to have a situation in which the speed of the particle is never zero but the average speed in an interval is zero.

Subtopic: Â Acceleration |
Â 59%
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The velocity-time plot for a particle moving on a straight line is shown in the figure

(a) The particle has a constant acceleration

(b) The particle has never turned around

(c) The particle has zero displacement

(d) The average speed in the interval 0 to 10 s is the same as the average speed in the interval 10 s to 20 s

Choose the correct option:

1. (a) and (b)

2. (b) and (c)

3. (c) and (d)

4. (a) and (d)

Subtopic: Â Acceleration |
Â 74%
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