Two cars are approaching an intersection at the origin in the figure below. One car is 15 miles north of the intersection and traveling at a rate of 45 mph. The other car is 24 miles east of the intersection and traveling at a rate of 52 mph.
- Write a set of parametric equations that represents the position of the car approaching from the north.
- Write a set of parametric equations that represents the position of the car approaching from the east.
Select Animate Graph style and Simultaneous Graph order for the equations in Questions 1 and 2. Simulate the movement of the cars using the window values below, and answer the questions that follow.
- According to the simulation, which car reaches the intersection first?
- Define a function that represents the distance between the two cars.
- How fast is the distance between the cars changing at t = 0.25 hours?
Click here to check your answers.