Understanding the Motion of a Red Car

What is the initial distance between the police car and the road?

• 50 ft

• 130 ft

• 100 ft

• 75 ft

What is the rate at which the distance between the police car and the red car is decreasing?

• 100 ft/s

• 75 ft/s

• 130 ft/s

• 50 ft/s

Which theorem is used to relate the sides of the triangle formed by the police car, the road, and the red car?

• Triangle inequality theorem

• Pythagorean theorem

• Sine rule

• Cosine rule

What is the length of the hypotenuse calculated using the Pythagorean theorem?

• 100 ft

• 194 ft

• Square root of 19,400

• Square root of 10,000

What is the derivative of the hypotenuse squared with respect to time?

• H^2

• 2Y * dy/dt

• 2X * dx/dt

• 2H * dh/dt

What is the formula used to find the rate of change of the distance along the road?

• dy/dt = h/y * dh/dt

• dy/dt = h/x * dh/dt

• dy/dt = x/y * dx/dt

• dy/dt = y/x * dh/dt

What is the approximate speed of the red car in feet per second?

• 75 ft/s

• 8.36 ft/s

• 54.79 ft/s

• 10 ft/s

What is the approximate speed of the red car in miles per hour?

• 50 mph

• 54.79 mph

• 60 mph

• 45 mph

Why is the rate of change of the distance along the road negative?

• The car is moving towards the police car

• The car is moving away from the police car

• The car is moving parallel to the police car

• The car is stationary

What does the negative sign in the rate of change of the hypotenuse indicate?

• The hypotenuse is zero

• The hypotenuse is constant

• The hypotenuse is increasing

• The hypotenuse is decreasing