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1.

Assertion (A):	Displacement of a body may be zero when distance travelled by it is not zero.
Reason (R):	The displacement is the longest distance between initial and final position.

 

1.	Both (A) and (R) are True and (R) is the correct explanation of (A).
2.	Both (A) and (R) are True but (R) is not the correct explanation of (A).
3.	(A) is True but (R) is False.
4.	Both (A) and (R) are False.

2. An object moves along a straight line. It travels \(30\) m in \(5\) s and \(60\) m in the next \(10\) seconds. The average speed of the object is:
1. \(6\) m/s
2. \(10\) m/s
3. \(12\) m/s
4. \(9\) m/s

3.

If the velocity of a particle is \(v=At+Bt^{2},\) where \(A\) and \(B\) are constants, then the distance travelled by it between \(1~\text{s}\) and \(2~\text{s}\) is:

1.	\(3A+7B\)	2.	\(\frac{3}{2}A+\frac{7}{3}B\)
3.	\(\frac{A}{2}+\frac{B}{3}\)	4.	\(\frac{3A}{2}+4B\)

4.

The motion of a particle is given by the equation \(S = \left(3 t^{3} + 7 t^{2} + 14 t + 8 \right) \text{m} ,\) The value of the acceleration of the particle at \(t=1~\text{s}\) is:

1.	\(10\) m/s2	2.	\(32\) m/s2
3.	\(23\) m/s2	4.	\(16\) m/s2

5.

A stone is thrown vertically downwards with an initial velocity of \(40\) m/s from the top of a building. If it reaches the ground with a velocity of \(60\) m/s, then the height of the building is: (take \(g=10\) m/s²)

1.	\(120\) m	2.	\(140\) m
3.	\(80\) m	4.	\(100\) m

6. The position-time \((x\text-t)\) graph for positive acceleration is:

1.		2.
3.		4.

7.

Which of the following velocity-time graphs shows a realistic situation for a body in motion?

1.		2.
3.		4.

8.

A thief is running away on a straight road in a jeep moving with a speed of \(9\) m/s. A policeman chases him on a motorcycle moving at a speed of \(10\) m/s. If the instantaneous separation of the jeep from the motorcycle is \(100\) m, how long will it take for the policeman to catch the thief?
1. \(1\) s
2. \(19\) s
3. \(90\) s
4. \(100\) s

9. The ratio of the distances travelled by a freely falling body in the \(1\)^st, \(2\)^nd, \(3\)^rd and \(4\)^th second is:

1.	\(1:1:1:1\)	2.	\(1:2:3:4\)
3.	\(1:4:9:16\)	4.	\(1:3:5:7\)

10.

If a body is thrown up with the velocity of \(15\) m/s, then the maximum height attained by the body is: (assume \(g = 10\) m/s²) 
1. \(11.25\) m
2. \(16.2\) m
3. \(24.5\) m
4. \(7.62\) m