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Question 1 of 11

1.

Select all the variables of the problem that are known

Question 1 of 11

Question 2 of 11

2. In this problem, the motion of how many bodies need to be studied?

Question 2 of 11

Question 3 of 11

3. Which of the following are the type of motions of (a) the bus and (b) the car?

Question 3 of 11

Question 4 of 11

4. Take the coordinate system on the ground in front of the bus just as it starts to push the brakes:

 

In this system, the bus is initially at \(x_{iB}=0\) meters and moves in the positive X direction. Choose the correct type of velocities and accelerations for (a) the bus and (b) the car.

Question 4 of 11

Question 5 of 11

5. Take \(x_{fc}\) as the final position of the car, \(x_{fB}\) as the final position of the bus. Which of the following equations best describes the final conditions of the bodies?

Question 5 of 11

Question 6 of 11

6. Use the motion equations for velocity and movement to find an equation that does not depend on time. Which of the following is equivalent to yours?

Question 6 of 11

Question 7 of 11

7. Take the previous equation and solve for \(x_f\). Can we use this equation for both the bus and the car's final position?

Question 7 of 11

Question 8 of 11

8. Now, take the equation that describes the final positions of the car and bus. Then, replace with the equation of the final positions (\(x_{fC}\) and \(x_{fB}\)) and solve for the initial position of the car. Which of the following is equivalent to your equation?

Question 8 of 11

Question 9 of 11

9. Which of the following statements are true? (Remember to take into account the coordinate system)

Question 9 of 11

Question 10 of 11

10. We have all the numeric values. Now, we can replace them in the equation and solve the car's initial position.

Question 10 of 11

Question 11 of 11

11. Replace the numeric values in the previous equation. The initial position of the car is  meters.

Question 11 of 11