# A person standing near the edge of the top of a building throws two balls $$A$$ and $$B.$$ The ball $$A$$ is thrown vertically upward and $$B$$ is thrown vertically downward with the same speed. The ball $$A$$ hits the ground with a speed $$v_A$$ and the ball $$B$$ hits the ground with a speed $$v_B.$$ We have: 1. $$v_A>v_B$$ 2. $$v_A<v_B$$ 3. $$v_A=v_B$$ 4. the relation between $$v_A$$ and $$v_B$$ depends on height of the building above the ground

Subtopic: Â Uniformly Accelerated Motion |
Â 70%
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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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Pick the correct statements:

 a. Average speed of a particle in a given time is never less than the magnitude of the average velocity. b. It is possible to have a situation in which $$|\frac{d \vec{v}}{d t}| \neq 0$$ but $$\frac{d}{d t}|\vec{v}|=0.$$ c. The average velocity of a particle is zero in a time interval. It is possible that the instantaneous velocity is never zero in the interval. d. The average velocity of a particle moving in a straight line is zero in a time interval. It is possible that the instantaneous velocity is never zero in the interval. (Infinite accelerations are not allowed)

Choose the correct option:

 1 (a), (b) and (c) 2 (b), (c) and (d) 3 (a) and (b) 4 (b) and (c)
Subtopic: Â Average Speed & Average Velocity |
Â 62%
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An object may have:

 a. varying speed without having a varying velocity. b. varying velocity without having varying speed. c. non-zero acceleration without having a varying velocity. d. non-zero acceleration without having varying speed.

Choose the correct option:

 1 (a) and (b) 2 (b) and (c) 3 (c) and (d) 4 (b) and (d)
Subtopic: Â Instantaneous Speed & Instantaneous Velocity |
Â 64%
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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 |
Â 64%
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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 66%
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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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The figure shows the position of a particle moving on the $$\mathrm{x}$$-axis as a function of time.

 (a) The particle has come to rest $$6$$ times. (b) The maximum speed is at $$t=6~\mathrm{s}.$$ (c) The velocity remains positive for $$t=0$$ to $$t=6~\mathrm{s}.$$ (d) The average velocity for the total period shown is negative.

Choose the correct option:

 1 (a) and (b) 2 (b) and (c) 3 (c) and (d) 4 (a) and (d)

Subtopic: Â Graphs |
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The accelerations of a particle as seen from two frames S1 and S2 have equal magnitude $$4$$ m/s2.

 1 The frames must be at rest with respect to each other. 2 The frames may be moving with respect to each other but neither should be accelerated with respect to the other. 3 The acceleration of S2 with respect to S1 may either be zero or $$8$$ m/s2. 4 The acceleration of S2 with respect to S1 may be anything between zero and $$8$$ m/s2.
Subtopic: Â Relative Motion in One Dimension |
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