Relative velocity example 1

The video tutorial explains how to calculate the velocity of car A relative to car B. It begins by setting up the problem, describing the velocities of both cars, and using vector representation. Car A moves at 5 m/s to the right, while car B moves at 10 m/s at a 60-degree angle. The tutorial uses trigonometry to break down car B's velocity into horizontal and vertical components. The relative velocity formula is applied, showing that car A's velocity relative to car B is 8.66 m/s upwards. The explanation includes intuitive insights into why the horizontal component is zero, as both cars share the same horizontal speed.

What is the initial velocity of car A?

• 5 meters per second at a 60-degree angle

• 10 meters per second to the right

• 5 meters per second to the right

• 10 meters per second at a 60-degree angle

How is the velocity of car B described in terms of its components?

• 10 cosine 60 to the right and 10 sine 60 down

• 10 sine 60 to the right and 10 cosine 60 down

• 10 meters per second to the right and 5 meters per second down

• 10 meters per second to the left and 5 meters per second up

What is the horizontal component of car B's velocity?

• 8.66 meters per second

• 5 meters per second

• 10 sine 60

• 10 cosine 60

What is the relative velocity of car A with respect to car B?

• 5 meters per second to the right

• 0 meters per second horizontally and 8.66 meters per second vertically

• 10 meters per second to the left

• 8.66 meters per second to the right

Why does car A appear stationary to the driver of car B?

• Because both cars have the same horizontal velocity

• Because car A is moving faster than car B

• Because both cars have the same vertical velocity

• Because car B is moving in the opposite direction