Class 9 - Practice Level 3 – Motion set - 1

Total questions: 15

Two trains, each 100 meters long, are moving towards each other on parallel tracks at speeds of 30 m/s and 20 m/s, respectively. How long will it take for the trains to completely pass each other?

Topic: Relative Motion

2 s

3 s

4 s

5 s

None

A projectile is fired with an initial velocity of 100 m/s at an angle of 45° with the horizontal. Calculate the time of flight of the projectile. $ \displaystyle \text{(Take g = 9}\text{.8 m/}{{\text{s}}^{2}})$

Topic: Projectile Motion

14.3 s

10.2 s

20.4 s

7.1 s

None

A car moves in a circular track of radius 100 m with a constant speed of 20 m/s. What is the centripetal acceleration of the car?

Topic: Circular Motion

$ \displaystyle 2m/{{s}^{2}}$

$ \displaystyle 4m/{{s}^{2}}$

$ \displaystyle 6m/{{s}^{2}}$

$ \displaystyle 8m/{{s}^{2}}$

None

A ball is thrown vertically upwards with an initial velocity of 50 m/s. Calculate the maximum height reached by the ball. $ \displaystyle \text{Take }g=9.8m/{{s}^{2}}$

Topic: Vertical Motion

127.55 m

102.04 m

85.13 m

45.91 m

None

A swimmer can swim in still water at a speed of 5 m/s. He swims across a river flowing at 3 m/s. What is the resultant velocity of the swimmer relative to the riverbank?

Topic: Relative Motion

4 m/s

5 m/s

6 m/s

8 m/s

None

A velocity-time graph shows a line that starts from the origin and has a positive constant slope. What does the slope represent?

Topic: Graphical Analysis

Displacement

Distance

Acceleration

Velocity

None

A car accelerates uniformly from rest to 20 m/s in 5 seconds. Then, it decelerates uniformly to rest in the next 10 seconds. What is the total distance covered by the car?

Topic: Non-uniform Acceleration

150 m

100 m

200 m

250 m

None

A projectile is launched from the ground with a velocity of 80 m/s at an angle of 60° to the horizontal. Calculate the maximum height reached by the projectile. (Take g = 9.8 m/s²)

Topic: Projectile Motion

244.9 m

183.6 m

162.5 m

204.1 m

None

A car travels 300 meters in 20 seconds with uniform acceleration and then travels 600 meters in the next 10 seconds. What is the acceleration of the car during the first phase of motion?

Topic: Horizontal Motion

2 m/s²

3 m/s²

4 m/s²

1.5 m/s²

None

10.

A ball is dropped from a height of 100 meters. Calculate the time taken to reach the ground and the velocity with which it strikes the ground. $ \displaystyle (\text{Take }g=9.8m/{{s}^{2}})$

Topic: Vertical Motion Under Gravity

$ \displaystyle 4.52s,44.29m/s$

$ \displaystyle 5.10s,50.05m/s$

$ \displaystyle 3.50s,35.14m/s$

$ \displaystyle 2.71s,26.58m/s$

None

11.

A boat moving at 10 m/s downstream in a river with a current speed of 2 m/s. If the boat turns around and moves upstream at the same speed, what is the time difference for traveling 1000 meters downstream and upstream?

Topic: Relative Velocity

42 s

56 s

112 s

150 s

None

12.

A block of mass 5 kg is pushed up a frictionless inclined plane of height 10 m with a force of 100 N. Calculate the work done on the block and its final velocity at the top. (Take g = 9.8 m/s²)

Topic: Work and Energy

1000 J, 10 m/s

500 J, 5 m/s

1500 J, 15 m/s

2000 J, 20 m/s

None

13.

A wheel rotates with a uniform angular acceleration of 2 rad/s². If the initial angular velocity is 3 rad/s, what is the angular velocity after 5 seconds?

Topic: Rotational Motion

5 rad/s

10 rad/s

13 rad/s

15 rad/s

None

14.

A particle starts from rest and moves with a varying acceleration given by a = 3t m/s². What is the velocity after 4 seconds?

Topic: Motion with Varying Acceleration

8 m/s

16 m/s

24 m/s

32 m/s

None

15.

A 2 kg mass is dropped from a height of 10 meters. Calculate the potential energy at the top and the kinetic energy just before it hits the ground. (Take g = 9.8 m/s²)

Topic: Energy Conservation

98 J, 98 J

196 J, 196 J

294 J, 294 J

392 J, 392 J

None

1 out of 15

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Class 9 - Practice Level 3 – Motion set - 1

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