1. A Body moves 6 m north. 8 m east and 10m vertically upwards, what is its resultant displacement from initial position

a) \[10\sqrt{2m}\]

b) 10 m

c) \[\frac{10}{\sqrt{2}}m\]

d) \[10\times 2m\]

Explanation:

2. A man goes 10m towards North, then 20m towards east then displacement is

a) 22.5m

b) 25m

c) 25.5m

d) 30m

Explanation:

3. A person moves 30 m north and then 20 m towards east and finally \[30\sqrt{2 }m\] in south-west direction. The displacement of the person from the origin will be

a) 10 m along north

b) 10 m long south

c) 10 m along west

d) Zero

Explanation:

4. An aeroplane flies 400 m north and 300 m south and then flies 1200 m upwards then net displacement is

a) 1200 m

b) 1300 m

c) 1400 m

d) 1500 m

Explanation:

5. An athlete completes one round of a circular track of radius R in 40 sec. What will be his displacement at the end of 2 min. 20 sec

a) Zero

b) 2R

c) \[2\pi R\]

d) \[7\pi R\]

Explanation: Total time of motion is 2 min 20 sec = 140 sec. As time period of circular motion is 40 sec so in 140 sec. athlete will complete 3.5 revolution i.e., He will be at diametrically opposite point i.e., Displacement = 2R.

6. A wheel of radius 1 meter rolls forward half a revolution on a horizontal ground. The magnitude of the displacement of the point of the wheel initially in contact with the ground is

a) \[2\pi \]

b) \[\sqrt{2\pi} \]

c) \[\sqrt{\pi^{2}+4} \]

d) \[\pi\]

Explanation:

7. A person travels along a straight road for half the distance with velocity \[v_{1}\] and the remaining half distance with velocity \[v_{2}\] The average velocity is
given by

a) \[v_{1}v_{2}\]

b) \[\frac{V_2^2}{V_1^2}\]

c) \[\frac{v_{1}+v_{2}}{2}\]

d) \[\frac{2v_{1}v_{2}}{v_{1}+v_{2}}\]

Explanation:

8. The displacement-time graph for two particles A and B are straight lines inclined at angles of \[30^{\circ}\] and \[60^{\circ}\] with the time axis. The ratio of velocities of \[{v_{A}:v_{B}}\] is

a) \[1:2\]

b) \[1:\sqrt{3}\]

c) \[\sqrt{3}:1\]

d) \[1:3\]

Explanation:

9. A car travels from A to B at a speed of 20 km / hr and returns at a speed of 30 km / hr . The average speed of the car for the whole journey is

a) \[25 km\diagup hr\]

b) \[24 km\diagup hr\]

c) \[50 km\diagup hr\]

d) \[5 km\diagup hr\]

Explanation:

10. A boy walks to his school at a distance of 6 km with constant speed of 2.5 km/hour and walks back with a constant speed of 4 km/hr. His average speed for round trip expressed in
km/hour, is

a) 24/13

b) 40/13

c) 3

d) 1/2

Explanation: