Relative Motion Problem: Solving for the angle of the moving object

The video tutorial covers a relative motion problem involving a toy car moving on paper. The goal is to determine the angle at which the car should travel relative to the paper to move north relative to the Earth. The tutorial explains the problem, visualizes the vectors, sets up vector addition equations, and solves for the angle Theta and the car's speed relative to Earth using trigonometry and the Pythagorean theorem.

What is the initial speed of the toy car relative to the paper?

• 29 millimeters per second

• 47 millimeters per second

• 38 millimeters per second

• 36 millimeters per second

In which direction is the paper moving relative to the Earth?

• North

• South

• West

• East

What is the purpose of reversing the direction of a vector in relative motion problems?

• To reverse the order of the subscripts and direction

• To simplify the equation

• To change the magnitude of the vector

• To eliminate the vector from the equation

What trigonometric function is used to solve for Theta in this problem?

• Cosine

• Tangent

• Sine

• Cotangent

What is the calculated angle Theta for the car to move north relative to the Earth?

• 29 degrees

• 47 degrees

• 38 degrees

• 36 degrees

What theorem is used to calculate the speed of the car relative to the Earth?

• Law of Cosines

• Pythagorean theorem

• Triangle Inequality Theorem

• Law of Sines

Why is the magnitude of the car's velocity relative to the Earth less than its velocity relative to the paper?

• Due to the increase in velocity in the Y direction

• Because the paper is moving faster

• Due to the cancellation of velocities in the X direction

• Because the car is moving slower