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Kinematics and Vector Operations Quiz

#1

Which of the following is a scalar quantity?

Distance
Explanation

Scalar quantities have magnitude only, and distance is a scalar quantity.

#2

Which of the following is a vector quantity?

Displacement
Explanation

Vector quantities have both magnitude and direction, and displacement is a vector quantity.

#3

What is the acceleration due to gravity near the surface of the Earth?

9.8 m/s²
Explanation

The acceleration due to gravity on Earth's surface is approximately 9.8 m/s².

#4

Which of the following is NOT a type of motion?

Radial motion
Explanation

Radial motion is not a distinct type of motion; it generally refers to motion along a radius.

#5

What is the unit of velocity?

meters per second
Explanation

Velocity is measured in meters per second.

#6

What is the formula for average velocity?

Δx/Δt
Explanation

Average velocity is the change in displacement divided by the change in time.

#7

A car accelerates uniformly from rest to a speed of 20 m/s in 5 seconds. What is its acceleration?

4 m/s²
Explanation

Acceleration is the change in velocity divided by time.

#8

What is the displacement of an object that travels 10 meters east, then 5 meters south?

√125 meters
Explanation

Displacement is the straight-line distance between the initial and final positions, calculated as the square root of the sum of squares of individual displacements.

#9

A ball is thrown vertically upward. Which of the following is true about its velocity at the highest point of its trajectory?

The velocity is zero
Explanation

At the highest point, the ball momentarily stops moving upward, resulting in zero velocity.

#10

If a car travels 100 km due north and then 75 km due west, what is its displacement from the starting point?

155 km
Explanation

Displacement is the straight-line distance between the initial and final positions, calculated as 155 km.

#11

Two vectors of magnitudes 3 and 4 units respectively can give a resultant of __________ units.

7
Explanation

Resultant magnitude of vectors is found using the vector addition, which yields 7 units in this case.

#12

In which situation can an object have zero velocity but nonzero acceleration?

Moving with decreasing speed in a straight line
Explanation

If an object is slowing down while moving in a straight line, its velocity can be zero while experiencing acceleration in the opposite direction.

#13

What is the resultant of two vectors with magnitudes 5N and 12N at an angle of 60 degrees between them?

√109N
Explanation

Resultant magnitude is calculated using the vector addition formula, resulting in √109N.

#14

Two vectors are orthogonal if their dot product is ________.

Zero
Explanation

Orthogonal vectors have a dot product of zero.

#15

If a car is moving with a constant speed of 30 m/s in a circular path, what can you say about its acceleration?

The acceleration is directed towards the center of the circle
Explanation

In circular motion, acceleration is directed towards the center, known as centripetal acceleration.

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