Assertion: A body is momentarily at rest when it reverses the direction of motion.
Reason: A body cannot have acceleration if its velocity is zero at a given instant of time.

1. both Assertion and Reason are true and the reason is the correct explanation of the assertion.
2. both Assertion and Reason are true but the reason is not the correct explanation of the assertion.
3. Assertion is a true statement but Reason is false.
4. both Assertion and Reason are false statements.

The position (x) of a particle moving along x-axis varies with time (t) as $\mathrm{x}={\mathrm{t}}^2-4\mathrm{t}+5$. The particle turns around at

1. t=1 s

2. t=2 s

3. t=3 s

4. t=4 s

The velocity (v) of a particle varies with position (x) as shown in the graph. Its acceleration when x=4 m will be

1. $-8 \mathrm{m}/{\mathrm{s}}^2$

2. $8 \mathrm{m}/{\mathrm{s}}^2$

3. $2 \mathrm{m}/{\mathrm{s}}^2$

4. $-2 m/s^2$

The acceleration time graph of a particle moving along a straight line is shown in the figure. The time taken by the particle to acquire its initial velocity is?

1. 4 s
2. 8 s
3. 10 s
4. 5 s

Position of a particle moving on a straight line is given by $\mathrm{x}=2{\mathrm{t}}^2-6\mathrm{t}$. The distance travelled by the particle in first four seconds is

1. 3 m

2. 17 m

3. 22 m

4. 28 m

A bird flies for 4 s with a velocity of |t-2| m/s in a straight line, where t is time in seconds. It covers a distance of

1. 2 m

2. 4 m

3. 6 m

4. 8 m

The acceleration-time graph of a particle moving along a straight line is given. At what time, the speed of a particle becomes equal to its initial speed?

      
1. 10 s
2. 8 s
3. 6 s
4. 4 s

The acceleration (a) versus time (t) graph of a particle moving along a straight line is shown in the given figure. The particle starts from rest at t=0. The velocity of the particle is maximum at
             

1. t=2 s
2. t=4 s
3. t=6 s
4. t=3 s

A graph between square of speed with time t for a particle moving on a straight line. The acceleration of the particle at t=1 s is

1. $1 \mathrm{m}/{\mathrm{s}}^2$

2. $1.5 \mathrm{m}/{\mathrm{s}}^2$

3. $2.0 \mathrm{m}/{\mathrm{s}}^2$

4. $2.5 \mathrm{m}/{\mathrm{s}}^2$

A body moved in a straight line according to equation $\mathrm{x}=30\mathrm{t}-5{\mathrm{t}}^2$. Th value of $\frac{\left|\mathrm{displacement}\right|}{\mathrm{distance}}$ between t=2 s to t=5 s is

1. >1

2. =1

3. <1

4. =2