Question: A car goes down a ramp, and once it hits the floor it must travel 6 metres and then stop. Create the procedure in order to find the angle that the board must be to make this scenerio possible. You cannot test on both the floor and the board at the same time.

Question

Question: A car goes down a ramp, and once it hits the floor it must travel 6 metres and then stop. Create the procedure in order to find the angle that the board must be to make this scenerio possible. You cannot test on both the floor and the board at the same time.
Given/Known Data: The car weighs 1.32 kg; the board is 0.93 m long; the car must travel 6 m on the floor.

These are the equations I used.

d=(Vf)(t)-(0.5)(a)(t^2)
d=(Vi)(t)+(0.5)(a)(t^2)
Fnet = (m)(a)
Ff=(μk)(m)(g)
a=(Vf-Vi)/t
Vf^2=Vi^2 + 2(a)(d)

This is the procedure I tried, but it didn't give me the correct results so now I have no idea where I went wrong.  I would really appreciate any help I can get.

Procedure
1. Draw a free body diagram.

2. Weigh car using scale. Record results.

3. Measure the board to its halfway point using the metre stick. Record results.

4. Find μk of the board.
Use a random acute angle, 40 degrees, to solve for μk.

5.Set the board to the angle of 40 degrees using the protractor.

6. Time the car’s descent from the halfway point to the end of the board. Record results.

7. Find the acceleration using the variables given and found. Record results.

8. Use the acceleration to solve for the net force of the car. Record results.

9. Use the net force of the car to solve for the μk of the board. Record results.
Find μk of the floor.

10. Use the spring scale to measure out the applied force for a certain time and distance. Record results.

11. Find the acceleration using the variables given and found. Record results.

12. Use the acceleration to determine the net force of the car. Record results.

13. Use the net force to solve for the force of friction. Record results.

14. Use the force of friction to solve for the μk of the floor. Record results.

15. Find the distance travelled by the car on the floor at 40 degrees.

16. Use results from steps four and five in order to find the final velocity of the car on the board. Record results.

17. Use the initial velocity of the floor--the final velocity of the board--and the results in step five to determine the distance the car travels on the floor. Record results.

18. Use the calculated distance to solve for the angle at which the car will travel six metres.

19. Use a ratio in order to solve. Record results.