Motion in One Dimension

Description: This quiz is designed to assess your understanding of the concepts related to Motion in One Dimension, including displacement, velocity, acceleration, and their interrelationships.
Number of Questions: 14
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Tags: motion one dimension displacement velocity acceleration
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What is the SI unit of displacement?

  1. Meter (m)

  2. Kilometer (km)

  3. Centimeter (cm)

  4. Inch (in)


Correct Option: A
Explanation:

The SI unit of displacement is the meter (m), which is the standard unit of length in the International System of Units (SI).

The displacement of an object is 20 meters east. What is the magnitude of the displacement?

  1. 20 meters

  2. 40 meters

  3. 60 meters

  4. 80 meters


Correct Option: A
Explanation:

The magnitude of the displacement is simply the distance traveled by the object, regardless of the direction. In this case, the magnitude of the displacement is 20 meters.

An object moves from a position of -5 meters to a position of 10 meters. What is the total displacement of the object?

  1. 5 meters

  2. 10 meters

  3. 15 meters

  4. 20 meters


Correct Option: C
Explanation:

The total displacement of the object is the change in its position, which is calculated by subtracting the initial position from the final position. In this case, the total displacement is 10 meters - (-5 meters) = 15 meters.

What is the SI unit of velocity?

  1. Meter per second (m/s)

  2. Kilometer per hour (km/h)

  3. Centimeter per second (cm/s)

  4. Inch per second (in/s)


Correct Option: A
Explanation:

The SI unit of velocity is the meter per second (m/s), which represents the rate of change of displacement with respect to time.

An object moves 30 meters in 5 seconds. What is the average velocity of the object?

  1. 6 m/s

  2. 7 m/s

  3. 8 m/s

  4. 9 m/s


Correct Option: A
Explanation:

Average velocity is calculated by dividing the total displacement by the time taken. In this case, the average velocity is 30 meters / 5 seconds = 6 meters per second.

A car travels 100 kilometers in 2 hours. What is the average speed of the car?

  1. 50 km/h

  2. 60 km/h

  3. 70 km/h

  4. 80 km/h


Correct Option: A
Explanation:

Average speed is calculated by dividing the total distance traveled by the time taken. In this case, the average speed is 100 kilometers / 2 hours = 50 kilometers per hour.

What is the SI unit of acceleration?

  1. Meter per second squared (m/s^2)

  2. Kilometer per hour squared (km/h^2)

  3. Centimeter per second squared (cm/s^2)

  4. Inch per second squared (in/s^2)


Correct Option: A
Explanation:

The SI unit of acceleration is the meter per second squared (m/s^2), which represents the rate of change of velocity with respect to time.

An object accelerates from rest to a velocity of 20 m/s in 5 seconds. What is the average acceleration of the object?

  1. 4 m/s^2

  2. 5 m/s^2

  3. 6 m/s^2

  4. 7 m/s^2


Correct Option: A
Explanation:

Average acceleration is calculated by dividing the change in velocity by the time taken. In this case, the average acceleration is (20 m/s - 0 m/s) / 5 seconds = 4 meters per second squared.

A car starts from rest and accelerates at a constant rate of 2 m/s^2 for 10 seconds. What is the final velocity of the car?

  1. 20 m/s

  2. 30 m/s

  3. 40 m/s

  4. 50 m/s


Correct Option: A
Explanation:

Final velocity can be calculated using the equation v = u + at, where u is the initial velocity (0 m/s), a is the acceleration (2 m/s^2), and t is the time (10 seconds). Plugging in the values, we get v = 0 m/s + 2 m/s^2 * 10 seconds = 20 meters per second.

An object is thrown vertically upward with an initial velocity of 10 m/s. What is the maximum height reached by the object?

  1. 5 meters

  2. 10 meters

  3. 15 meters

  4. 20 meters


Correct Option: B
Explanation:

At the maximum height, the object's velocity becomes zero. Using the equation v^2 = u^2 + 2as, where v is the final velocity (0 m/s), u is the initial velocity (10 m/s), a is the acceleration due to gravity (-9.8 m/s^2), and s is the displacement (maximum height), we can solve for s. Plugging in the values, we get 0^2 = 10^2 + 2 * (-9.8 m/s^2) * s, which gives s = 10 meters.

A ball is dropped from a height of 50 meters. What is the velocity of the ball just before it hits the ground?

  1. 10 m/s

  2. 20 m/s

  3. 30 m/s

  4. 40 m/s


Correct Option: C
Explanation:

Using the equation v^2 = u^2 + 2as, where v is the final velocity (unknown), u is the initial velocity (0 m/s), a is the acceleration due to gravity (-9.8 m/s^2), and s is the displacement (50 meters), we can solve for v. Plugging in the values, we get v^2 = 0^2 + 2 * (-9.8 m/s^2) * 50 meters, which gives v = 30 meters per second.

A car travels 200 kilometers in 4 hours. What is the average speed of the car in miles per hour?

  1. 50 mph

  2. 60 mph

  3. 70 mph

  4. 80 mph


Correct Option: A
Explanation:

To convert kilometers per hour to miles per hour, we need to multiply by 0.621371. Therefore, the average speed in miles per hour is 200 kilometers per hour * 0.621371 = 124.2742 miles per hour, which is approximately 124 mph.

An object moves with a constant velocity of 10 m/s for 20 seconds. What is the total displacement of the object?

  1. 200 meters

  2. 300 meters

  3. 400 meters

  4. 500 meters


Correct Option: A
Explanation:

Total displacement is calculated by multiplying the velocity by the time taken. In this case, the total displacement is 10 m/s * 20 seconds = 200 meters.

A train accelerates from rest at a constant rate of 2 m/s^2 for 30 seconds. What is the final velocity of the train?

  1. 60 m/s

  2. 70 m/s

  3. 80 m/s

  4. 90 m/s


Correct Option: A
Explanation:

Final velocity can be calculated using the equation v = u + at, where u is the initial velocity (0 m/s), a is the acceleration (2 m/s^2), and t is the time (30 seconds). Plugging in the values, we get v = 0 m/s + 2 m/s^2 * 30 seconds = 60 meters per second.

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