Class 9 - Practice Level 3 - Motion - Set 2

Total questions: 15

A car accelerates uniformly from 0 to 100 km/h in 10 seconds. Calculate the acceleration in m/s².

Topic: Non-uniform Motion

$\displaystyle 2.78\text{ }m/s{}^\text{2}$

$ \displaystyle 3.89\text{ }m/s{}^\text{2}$

$ \displaystyle 4.92\text{ }m/s{}^\text{2}$

$ \displaystyle 5.56\text{ }m/s{}^\text{2}$

None

A car travels 60 meters in 5 seconds from rest with uniform acceleration. What is the magnitude of the acceleration?

Topic: Kinematics

$\displaystyle 4.8\text{ }m/s{}^\text{2}$

$ \displaystyle {5.2\text{ }m/s{}^\text{2}}$

$ \displaystyle {6.0\text{ }m/s{}^\text{2}}$

$\displaystyle {8.4\text{ }m/s{}^\text{2}}$

None

Two cyclists are moving towards each other with speeds of 10 m/s and 15 m/s respectively. What is their relative velocity?

Topic: Relative Velocity

10 m/s

15 m/s

25 m/s

30 m/s

None

A velocity-time graph shows a curve that slopes downward. What does this indicate about the object's motion?

Topic: Graphical Analysis

Increasing acceleration

Decreasing acceleration

Constant velocity

Constant acceleration

None

A stone is thrown vertically upward with a velocity of 40 m/s. Calculate the time taken to reach the highest point and the maximum height reached. $ \displaystyle \left( {\text{Take }g\text{ }=\text{ }9.8\text{ }m/s{}^\text{2}} \right)$

Topic: Vertical Motion

$ \displaystyle {4.08\text{ }s,\text{ }81.63\text{ }m}$

$ \displaystyle {5.10\text{ }s,\text{ }102.04\text{ }m}$

$ \displaystyle {3.50\text{ }s,\text{ }71.43\text{ }m}$

$\displaystyle {4.82\text{ }s,\text{ }98.32\text{ }m}$

None

A projectile is launched with an initial velocity of 50 m/s at an angle of 30° to the horizontal. Calculate the horizontal range of the projectile.$ \displaystyle \left( {\text{Take }g\text{ }=\text{ }9.8\text{ }m/s{}^\text{2}} \right)$

Topic: Projectile Motion

127.55 m

254.9 m

220.83 m

102.5 m

None

A block of mass 10 kg is pulled up an inclined plane of length 5 meters with a force of 100 N parallel to the incline. The incline makes an angle of 30° with the horizontal. Calculate the work done by the force.$ \displaystyle \left( {\text{Take }g\text{ }=\text{ }9.8\text{ }m/s{}^\text{2}} \right)$

Topic: Work and Energy

250 J

350 J

450 J

500 J

None

A 0.5 kg ball is thrown vertically upwards with an initial speed of 20 m/s. Calculate the maximum height it reaches.$ \displaystyle \left( {\text{Take }g\text{ }=\text{ }9.8\text{ }m/s{}^\text{2}} \right)$

Topic: Conservation of Energy

15.3 m

20.4 m

25.5 m

30.6 m

None

A wheel rotating at 10 rad/s is subjected to a uniform angular deceleration of 2 rad/s². How long will it take to come to rest?

Topic: Rotational Motion

2 s

4 s

5 s

10 s

None

10.

A car of mass 1500 kg moves in a circular track of radius 50 m with a speed of 20 m/s. Calculate the centripetal force acting on the car.

Topic: Circular Motion

6000 N

8000 N

9000 N

12000 N

None

11.

A projectile is launched with an initial velocity of 60 m/s at an angle of 45° to the horizontal. Calculate the time of flight and the horizontal range of the projectile.$\displaystyle \left( {\text{Take }g\text{ }=\text{ }9.8\text{ }m/s{}^\text{2}} \right)$

Topic: Projectile Motion

8.66 s, 366.6 m

6.12 s, 244.8 m

10.2 s, 510.4 m

12.1 s, 512.4 m

None

12.

A car moving with a velocity of 30 m/s comes to rest in 5 seconds. Calculate the acceleration and the distance traveled by the car.

Topic: Kinematic Equations

-6 m/s², 75 m

-5 m/s², 90 m

-4 m/s², 60 m

-3 m/s², 45 m

None

13.

A 2 kg mass is pushed horizontally with a force of 10 N for a distance of 5 meters. If the surface is frictionless, calculate the work done on the mass and its final velocity.

Topic: Work-Energy Theorem

50 J, 5 m/s

100 J, 10 m/s

75 J, 7.5 m/s

150 J, 15 m/s

None

14.

A bullet of mass 0.01 kg is fired from a gun of mass 1 kg with a velocity of 100 m/s. Calculate the recoil velocity of the gun.

Topic: Conservation of Momentum

-1 m/s

-0.1 m/s

-0.5 m/s

-0.01 m/s

None

15.

A mass-spring system oscillates with a period of 2 seconds. If the mass is 0.5 kg, calculate the spring constant.

Topic: Harmonic Motion

2 N/m

4 N/m

8 N/m

16 N/m

None

1 out of 15

Time's up

Class 9 - Practice Level 3 - Motion - Set 2

Welcome back