Velocity and Acceleration Analysis Quizzes: Test Your Understanding

Question 1

Approximately what is Earth's acceleration due to gravity?

Accepted Answer

9.8 m/s^2

Answer

10.2 m/s^2

Answer

9.3 m/s^2

Answer

8.1 m/s^2

Question 2

Which graph best represents velocity versus time?

Accepted Answer

Velocity-time graph

Answer

Displacement-time graph

Answer

Acceleration-time graph

Answer

Position-time graph

Question 3

Which quantity is a vector?

Accepted Answer

Velocity

Answer

Speed

Answer

Displacement

Answer

Distance

Question 4

In circular motion, the acceleration of a particle is directed:

Accepted Answer

Towards the circle's center

Answer

Tangentially to the circle

Answer

Perpendicular to the circle

Answer

Randomly

Question 5

What unit measures angular velocity?

Accepted Answer

Radians per second

Answer

Degrees per second

Answer

Revolutions per minute

Answer

Hertz

Question 6

What is the formula to calculate velocity?

Accepted Answer

Displacement / Time

Answer

Acceleration x Time

Answer

Force / Mass

Answer

Work / Power

Question 7

What is the SI unit for acceleration?

Accepted Answer

Meter per second squared

Answer

Meter per second

Answer

Newton-meter

Answer

Kilogram per second

Question 8

Which of the following is not a graphical representation of acceleration?

Accepted Answer

Position-time graph

Answer

Velocity-time graph

Answer

Displacement-time graph

Answer

Acceleration-time graph

Question 9

Which of the following is a vector quantity?

Accepted Answer

Acceleration

Answer

Speed

Answer

Mass

Answer

Time

Question 10

A particle moves in a circular path of radius 5 m with a constant speed of 10 m/s. Calculate its centripetal acceleration.

Accepted Answer

20 m/s²

Answer

2 m/s²

Answer

10 m/s²

Answer

40 m/s²

Question 11

Which technique is NOT used for graphical analysis of velocity and acceleration?

Accepted Answer

Lagrangian mechanics

Answer

Velocity-time graphs

Answer

Acceleration-time graphs

Answer

Vector diagrams

Question 12

In linear motion, the acceleration of an object is:

Accepted Answer

Constant

Answer

Zero

Answer

Proportional to displacement

Answer

Proportional to time

Question 13

The correct expression for the acceleration of a particle moving in a two-dimensional plane is:

Accepted Answer

a = dv/dt

Answer

a = v * t

Answer

a = (v_f - v_i) / t

Answer

a = v * r / t

Question 14

The velocity of an object moving along a circular path is:

Accepted Answer

Proportional to the angular velocity

Answer

Constant

Answer

Zero

Answer

Proportional to the radius of the path

Question 15

The acceleration due to gravity on Earth is approximately:

Accepted Answer

9.8 m/s^2

Answer

10 m/s^2

Answer

11 m/s^2

Answer

12 m/s^2

Question 16

Which unit is used to measure angular acceleration?

Accepted Answer

rad/s^2

Answer

m/s

Answer

m/s^2

Answer

rad/s

Question 17

The correct formula for centripetal acceleration of a particle moving in a circular path is:

Accepted Answer

a_c = v^2 / r

Answer

a_c = v * r

Answer

a_c = r / v

Answer

a_c = v / r

Question 18

Which of the following is NOT a type of kinematic diagram?

Accepted Answer

Acceleration-position graph

Answer

Displacement-time graph

Answer

Velocity-time graph

Answer

Displacement-velocity graph

Question 19

Which of the following is NOT a factor affecting the acceleration of a rigid body?

Accepted Answer

Displacement

Answer

Mass

Answer

Force

Answer

Torque

Question 20

A gear pair has a gear ratio of 3:1. If the input gear rotates at 100 rpm, what is the output gear's angular speed?

Accepted Answer

33.33 rpm

Answer

100 rpm

Answer

300 rpm

Answer

400 rpm

Question 21

For a body with constant acceleration, its velocity:

Accepted Answer

Changes uniformly with time

Answer

Remains constant with time

Answer

Changes non-uniformly with time

Answer

Is zero

Question 22

The displacement of a body with constant acceleration is given by:

Accepted Answer

s = ut + 1/2 at^2

Answer

v = u + at

Answer

a = v^2 / s

Answer

t = (v - u) / a

Question 23

Which of these physical quantities is a vector?

Accepted Answer

Velocity

Answer

Speed

Answer

Time

Answer

Mass

Question 24

A particle moves along a straight line, and its displacement is given by s = t^3 - 6t^2 + 9t + 2. What is its velocity when t = 2?

Accepted Answer

4 m/s

Answer

2 m/s

Answer

8 m/s

Answer

12 m/s

Question 25

Which unit is used to measure acceleration?

Accepted Answer

m/s^2

Answer

m/s

Answer

km/h

Answer

m/s^3

Question 26

Which of the following is NOT considered a type of linear velocity?

Accepted Answer

Angular velocity

Answer

Instantaneous velocity

Answer

Average velocity

Answer

Relative velocity

Question 27

Which graphical representation depicts acceleration?

Accepted Answer

Acceleration versus time

Answer

Displacement versus time

Answer

Velocity versus time

Answer

Position versus velocity

Question 28

A car traveling at 60 mph applies the brakes, resulting in a deceleration of 10 ft/s^2. How long does it take for the car to come to a complete stop?

Accepted Answer

8.8 seconds

Answer

6.0 seconds

Answer

10.0 seconds

Answer

12.0 seconds

Question 29

Which of the following is the SI unit of angular acceleration?

Accepted Answer

rad/s^2

Answer

m/s^2

Answer

deg/s^2

Answer

rpm/s

Question 30

To find the slope of a velocity or acceleration curve, which mathematical method is used?

Accepted Answer

Differentiation

Answer

Integration

Answer

Interpolation

Question 31

Which statement accurately describes the relationship between velocity and acceleration?

Accepted Answer

Acceleration is the slope of the velocity-time graph.

Answer

Velocity is the rate of change of acceleration over time.

Answer

Velocity and acceleration always have the same direction.

Question 32

A particle has a velocity-time graph that is a straight line with a positive slope. What can you conclude about the particle's motion?

Accepted Answer

The particle is moving with a constant acceleration.

Answer

The particle is moving with a decreasing acceleration.

Answer

The particle is moving with a constant velocity.

Answer

The particle is at rest.

Question 33

A projectile is launched at an angle of 30° above the horizontal with a velocity of 20 m/s. What is the horizontal component of the projectile's velocity?

Accepted Answer

17.3 m/s

Answer

25 m/s

Answer

30 m/s

Answer

10 m/s

Question 34

A car starts from rest and accelerates uniformly at 2 meters per second squared for 5 seconds. What is the car's velocity after 5 seconds?

Accepted Answer

10 m/s

Answer

5 m/s

Answer

15 m/s

Question 35

A car is traveling at a constant speed of 60 miles per hour. What is the car's acceleration?

Accepted Answer

0 m/s^2

Answer

5.4 m/s^2

Answer

2.7 m/s^2

Answer

8.1 m/s^2

Question 36

A particle's velocity along a straight line is described by the equation v(t) = 2t² + 3t meters per second. What is the particle's acceleration at time t = 1 second?

Accepted Answer

7 m/s^2

Answer

2 m/s^2

Answer

3 m/s^2

Answer

6 m/s^2

Question 37

An object is moving in uniform circular motion with a radius of 5 meters and an angular velocity of 2 radians per second. What is the object's tangential velocity?

Accepted Answer

10 m/s

Answer

15 m/s

Answer

20 m/s

Answer

5 m/s

Question 38

What is the acceleration of a point on a body moving with a constant velocity?

Accepted Answer

Zero

Answer

Varying

Answer

Undefined

Answer

Constant

Question 39

A four-bar linkage has the following link lengths: a = 100 mm, b = 200 mm, c = 150 mm, and d = 250 mm. If the input link (a) rotates at a constant angular velocity, the acceleration of the coupler link (b) is:

Accepted Answer

A combination of tangential and normal acceleration

Answer

Only tangential acceleration

Answer

Only normal acceleration

Question 40

In a cam-follower system, the acceleration of the follower is maximum when:

Accepted Answer

The cam profile has a sharp change in curvature

Answer

The follower is in contact with the cam at the highest point

Answer

The cam profile is smooth and continuous

Answer

The cam rotates at a constant angular velocity

Question 41

A slider moves along a straight path with a displacement given by s = 2t^2 + 3t, where s is in meters and t is in seconds. What is the slider's velocity at t = 2 seconds?

Accepted Answer

11 m/s

Answer

20 m/s

Answer

8 m/s

Answer

14 m/s

Question 42

A wheel rotating at 10 rad/s accelerates uniformly to 20 rad/s in 5 seconds. What is the angular acceleration of the wheel?

Accepted Answer

2 rad/s²

Answer

5 rad/s²

Answer

10 rad/s²

Answer

0.5 rad/s²

Question 43

In a four-bar linkage mechanism, if the input link rotates at a constant angular velocity, which of the following statements is always true about the coupler link?

Accepted Answer

The coupler link experiences both translational and rotational motion.

Answer

The coupler link only translates.

Answer

The coupler link only rotates.

Question 44

The instantaneous center of zero velocity (IC) for a body undergoing planar motion is defined as the point where:

Accepted Answer

The body has zero velocity at that instant.

Answer

The body's linear and angular velocities are equal.

Answer

The body's angular velocity is maximum.

Answer

The body's acceleration is maximum.

Question 45

Two gears, with radii of 5 cm and 10 cm, are meshing. If the smaller gear rotates at 100 rpm, what is the rotational speed of the larger gear?

Accepted Answer

50 rpm

Answer

25 rpm

Answer

200 rpm

Answer

100 rpm

Question 46

A car accelerates from rest to 20 m/s in 5 seconds. What is the car's average acceleration?

Accepted Answer

4 m/s²

Answer

5 m/s²

Answer

2 m/s²

Answer

10 m/s²

Question 47

Which of the following methods is NOT typically used for velocity and acceleration analysis in machine design?

Accepted Answer

Finite Element Analysis (FEA)

Answer

Graphical method (Velocity and Acceleration polygons)

Answer

Analytical method (Vector loop equations)

Question 48

A point on a rotating disk has a tangential velocity of 5 m/s. If the disk's radius is 0.5 meters, what is the point's angular velocity?

Accepted Answer

10 rad/s

Answer

20 rad/s

Answer

2.5 rad/s

Answer

5 rad/s

Question 49

The Coriolis acceleration component arises when:

Accepted Answer

A point is moving on a path that is itself rotating.

Answer

A point is moving with constant velocity.

Answer

A point is moving with constant acceleration.

Question 50

In a slider-crank mechanism, at what crank angle is the sliding velocity of the piston maximum?

Accepted Answer

When the crank and connecting rod are perpendicular.

Answer

At the top dead center of the crank.

Answer

When the crank and connecting rod are in line.