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1.

Given below are two statements: 

Assertion (A):	Position-time graph of a stationary object is a straight line parallel to the time axis.
Reason (R):	For a stationary object, the position does not change with time.

  

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. A person travelling in a straight line moves with a constant velocity \(v_1\) for a certain distance \(x\) and with a constant velocity \(v_2\) for the next equal distance. The average velocity \(v\) is given by the relation:

1.	\(\dfrac{1}{v} = \dfrac{1}{v_1}+\dfrac{1}{v_2}\)	2.	\(\dfrac{2}{v} = \dfrac{1}{v_1}+\dfrac{1}{v_2}\)
3.	\(\dfrac{v}{2} = \dfrac{v_1+v_2}{2}\)	4.	\(v = \sqrt{v_1v_2}\)

3. The displacement \(x\) (in \(\text m\)) of a particle of mass \(m\) (in \(\text{kg}\)) moving in one dimension under the action of a force, is related to time \(t\) (in \(\text s\)) by;  \(t = (\sqrt x +3 ).\) The displacement of the particle when its velocity is zero will be:

1.	\(4~\text m\)	2.	zero
3.	\(6~\text m\)	4.	\(2~\text m\)

4.

The motion of a particle along a straight line is described by the equation \(x = 8+12t-t^3\) where \(x \) is in meter and \(t\) in seconds. The retardation of the particle, when its velocity becomes zero, is:

1.	\(24\) ms-2	2.	zero
3.	\(6\) ms-2	4.	\(12\) ms-2

5.

A boy standing at the top of a tower of \(20\) m height drops a stone. Assuming \(g=10\) m/s², the velocity with which it hits the ground will be:
1. \(20\) m/s                                         
2. \(40\) m/s
3. \(5\) m/s                                           
4. \(10\) m/s

6. The velocity \((v)\)-time \((t)\) plot of the motion of a body is shown below: 
                     
The acceleration \((a)\)-time \((t)\) graph that best suits this motion is: 

1.		2.
3.		4.

7. The speed \((s)\) of a car as a function of time \((t)\) is shown figure, The distance travelled by the car in \(8\) seconds is:

1.	\(180~\text{m}\)	2.	\(60~\text{m}\)
3.	\(80~\text{m}\)	4.	\(18~\text{m}\)

8.

Two balls are projected upward simultaneously with speeds of \(40\) m/s and \(60\) m/s. The relative position \((x)\) of the second ball with respect to the first ball at time \(t=5\) s will be: (neglect air resistance)
1. \(20\) m
2. \(80\) m
3. \(100\) m
4. \(120\) m

9.

A stone falls freely under gravity. It covers distances \(h_1,~h_2\) and \(h_3\) in the first \(5\) seconds, the next \(5\) seconds and the next \(5\) seconds respectively. The relation between \(h_1,~h_2\) and \(h_3\) is:

1.	\(h_1=\frac{h_2}{3}=\frac{h_3}{5}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \)
2.	\(h_2=3h_1\) and \(h_3=3h_2\)
3.	\(h_1=h_2=h_3\)
4.	\(h_1=2h_2=3h_3\)

10.

A particle has initial velocity \(\left(2 \hat{i} + 3 \hat{j}\right)\) and acceleration \(\left(0 . 3 \hat{i} + 0 . 2 \hat{j}\right)\). The magnitude of velocity after \(10\) s will be:

1.	\(9 \sqrt{2}~   \text{units}\)	2.	\(5 \sqrt{2}  ~\text{ units}\)
3.	\(5~\text{units}\)	4.	\(9~\text{units}\)