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Question 1 of 15

1. Select all the variables of the problem that are known

Question 1 of 15

Question 2 of 15

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

Question 2 of 15

Question 3 of 15

3. Which of the following is the type of motion of the cyclist?

Question 3 of 15

Question 4 of 15

4. Take the coordinate system in the cyclist initial position moving in the positive \(x\) direction as:

 

Given these conditions, the cyclist's acceleration is

Question 4 of 15

Question 5 of 15

5. Take the coordinate system in the cyclist initial position as:

 

The final position of the cyclist is \(\vec{x}_{fc}\), the initial speed is \(\vec{v}_{ic}\), the acceleration is \(a\) and \(t\) is the time the cyclist takes from the initial position to the ball. Then, the motion equation for the cyclist is:

Question 5 of 15

Question 6 of 15

6. At this point, to solve for t, we have all the numerical values of the variables in the kinematic equation found before. Therefore, we only need to replace the values in the kinematic equation and solve for t.

Question 6 of 15

Question 7 of 15

7. Taking the kinematic equation in 1D for the velocity, find an equation for \(a\) that its only unknown variable is \(t\). Which of the following equations is equivalent to the one you have written?

Question 7 of 15

Question 8 of 15

8. In the equation of motion found earlier, insert the definition of acceleration found in the last exercise. Then, solve for the time \(t\) that the cyclist takes from the initial position to the ball. Which of the following equations is equivalent to the one you have written?

Question 8 of 15

Question 9 of 15

9. Which of the following statements are true?

Question 9 of 15

Question 10 of 15

10. Insert the numerical values in the last equation. The time passed from the moment the cyclist starts breaking to the moment she reached the soccer ball is s.

Question 10 of 15

Question 11 of 15

11. The motion equation for the cyclist is \(x_{fc}=-\frac{1}{2}at^2+v_{ic}t\). What kind of graph does this equation represents?

Question 11 of 15

Question 12 of 15

12. Which of the following is the type of motion of the ball?

Question 12 of 15

Question 13 of 15

13. Which of the following equations is the motion equation for the soccer ball?

Question 13 of 15

Question 14 of 15

14. Do the ball and the cyclist position vs time graphs intersect?

Question 14 of 15

Question 15 of 15

15. The graph for the position as a function of time for the cyclist and for the soccer ball is

Question 15 of 15