---

Question 1:

When two velocities are in the same direction, the magnitude of their relative velocity is:

A) Equal to the sum of the magnitudes of the two velocities.
B) Equal to the difference of the magnitudes of the two velocities.
C) Equal to the average of the magnitudes of the two velocities.
D) Zero.

Show Answer

Explanation: The correct answer is B) Equal to the difference of the magnitudes of the two velocities. When two velocities are in the same direction, their relative velocity is equal to the difference between their magnitudes. The relative velocity determines how one object appears to be moving with respect to the other in a particular frame of reference.

---

Question 2:

When two velocities are in opposite directions, the magnitude of their relative velocity is:

A) Equal to the sum of the magnitudes of the two velocities.
B) Equal to the difference of the magnitudes of the two velocities.
C) Equal to the average of the magnitudes of the two velocities.
D) Zero.

Show Answer

Explanation: The correct answer is A) Equal to the sum of the magnitudes of the two velocities. When two velocities are in opposite directions, their relative velocity is equal to the sum of their magnitudes. The relative velocity determines how one object appears to be moving with respect to the other in a particular frame of reference.

---

Question 3:

Which of the following is an example of relative velocity?

A) The velocity of a moving car.
B) The velocity of a stationary tree.
C) The velocity of a cyclist relative to the ground.
D) The velocity of a ball thrown vertically upwards.

Show Answer

Explanation: The correct answer is C) The velocity of a cyclist relative to the ground. Relative velocity refers to the velocity of an object or person with respect to another object or frame of reference. In this case, the velocity of the cyclist relative to the ground considers the motion of the cyclist with respect to the stationary ground.

---

Question 4:

When two velocities are perpendicular to each other, the magnitude of their resultant velocity is:

A) Equal to the sum of the magnitudes of the two velocities.
B) Equal to the difference of the magnitudes of the two velocities.
C) Equal to the average of the magnitudes of the two velocities.
D) Equal to the square root of the sum of the squares of the magnitudes of the two velocities.

Show Answer

Explanation: The correct answer is D) Equal to the square root of the sum of the squares of the magnitudes of the two velocities. When two velocities are perpendicular to each other, their resultant velocity is obtained using the Pythagorean theorem. The magnitude of the resultant velocity is equal to the square root of the sum of the squares of the magnitudes of the two velocities.

---

Question 5:

What is the maximum value for the magnitude of the resultant velocity when two velocities are added together?

A) Equal to the sum of the magnitudes of the two velocities.
B) Equal to the difference of the magnitudes of the two velocities.
C) Equal to the average of the magnitudes of the two velocities.
D) It depends on the directions of the velocities.

Show Answer

Explanation: The correct answer is A) Equal to the sum of the magnitudes of the two velocities. The maximum value for the magnitude of the resultant velocity occurs when the two velocities are in the same direction and have the same magnitude. In this case, the magnitude of the resultant velocity is equal to the sum of the magnitudes of the two velocities.