Physics of Motion: Ball and Car Dynamics

The video tutorial explains a physics problem involving two children throwing a ball in a moving car. The ball's velocity relative to the car and the car's velocity are modeled using vectors. The tutorial demonstrates how to calculate the angle at which the ball flies out of the car window using trigonometry, specifically the tangent function. An alternative, quicker method is also presented, leveraging the properties of right triangles. The final result is the angle of the ball's trajectory relative to the car's forward direction.

What is the speed of the ball relative to the car?

• 23 miles per hour

• 35 miles per hour

• 12 miles per hour

• 47 miles per hour

In which direction is the car traveling?

• Down the road

• North

• South

• Up the hill

What does vector c represent in the problem?

• The speed and direction of the ball

• The angle of the ball

• The speed and direction of the car

• The resultant vector

How is the resultant vector formed?

• By adding vectors c and b

• By multiplying vectors c and b

• By dividing vector c by vector b

• By subtracting vector b from vector c

What is the equation used to find angle theta?

• Theta equals x divided by y

• Sine theta equals y divided by x

• Cosine theta equals x divided by y

• Tangent theta equals y divided by x

What is the relationship between theta and alpha?

• Alpha equals theta plus 90 degrees

• Alpha equals 180 degrees minus theta

• Alpha equals theta minus 90 degrees

• Alpha equals 90 degrees minus theta

What is the approximate value of angle alpha?

• 71.0754 degrees

• 18.9246 degrees

• 35 degrees

• 90 degrees

What is the magnitude of vector c?

• 12

• 23

• 35

• 47

What is the magnitude of vector b?

• 35

• 12

• 47

• 23

What is the alternative method used to find alpha?

• Using the cosine function

• Using the Pythagorean theorem

• Using the sine function

• Using the right triangle properties