An Introductory Relative Motion Problem

The video tutorial covers an introductory problem on relative motion, focusing on a toy car moving on a piece of paper. The problem is divided into three parts: calculating the car's velocity relative to the Earth, determining the displacement, and finding the time taken to cross the paper. The tutorial uses vector addition, the Pythagorean theorem, and trigonometry to solve the problem, emphasizing the importance of understanding both magnitude and direction in velocity. The tutorial also highlights the use of similar triangles in solving displacement and time-related questions.

What is the velocity of the toy car relative to the paper?

• 75 millimeters per second West

• 88 millimeters per second North

• 46 millimeters per second North

• 58 millimeters per second West

What is the velocity of the paper relative to the earth?

• 58 millimeters per second West

• 46 millimeters per second North

• 75 millimeters per second West

• 88 millimeters per second North

In which direction does the car move when placed on the paper?

• West

• North

• Between North and West

• South

What mathematical method is used to calculate the velocity of the car relative to the earth?

• Algebraic addition

• Pythagorean theorem

• Subtraction

• Multiplication

What is the magnitude of the velocity of the car relative to the earth?

• 46 millimeters per second

• 75 millimeters per second

• 88 millimeters per second

• 58 millimeters per second

What angle does the car's velocity make with the north direction?

• 88 degrees

• 75 degrees

• 46 degrees

• 58 degrees

What is the displacement of the toy car along the hypotenuse?

• 75 millimeters

• 88 millimeters

• 692 millimeters

• 1300 millimeters

What is the displacement in the Y direction?

• 75 millimeters

• 88 millimeters

• 692 millimeters

• 1300 millimeters

How long does it take for the toy car to cross the paper?

• 20 seconds

• 5 seconds

• 15 seconds

• 10 seconds

What equation is used to calculate the time taken for the car to cross the paper?

• Time = Displacement / Velocity

• Displacement = Velocity * Time

• Time = Velocity / Displacement

• Velocity = Displacement / Time