How Do You Calculate Stopping Distance on a Slope?

  • Thread starter Thread starter cec87
  • Start date Start date
  • Tags Tags
    Stopping distance
Click For Summary
SUMMARY

The discussion focuses on calculating the stopping distance of a car traveling up a 15-degree slope at a speed of 35.0 m/s, with a coefficient of kinetic friction of 0.800. The correct approach involves using the kinematic equation v² = u² + 2as to determine acceleration and subsequently the stopping distance. Participants confirm that the initial method using x = x₀ + v₀t + (1/2)at² is valid but may require additional steps to solve for time. The calculations yield definitive results for both acceleration and stopping distance.

PREREQUISITES
  • Understanding of kinematic equations
  • Knowledge of friction coefficients
  • Basic trigonometry for slope calculations
  • Familiarity with Newton's laws of motion
NEXT STEPS
  • Calculate acceleration using the formula a = -g * (sin(θ) + μ * cos(θ))
  • Research the application of kinematic equations in inclined plane problems
  • Explore the effects of different friction coefficients on stopping distances
  • Learn about the role of slope angles in vehicle dynamics
USEFUL FOR

Physics students, automotive engineers, and anyone interested in vehicle dynamics and safety calculations.

cec87
Messages
1
Reaction score
0
Problem:
A car is traveling up a 15 degree slope at a speed of 35.0 m/s when the driver slams on the brakes and skids to a halt. The coefficient of kinetic friction between the tires and road is 0.800. Find the cars acceleration and the stopping distance.

I found the acceleration and was trying to the find the stopping distance using x=xo + voxt+ axt^2/2. I don't know if this is the right approach.
 
Physics news on Phys.org
This is how I would solve for the stopping distance. I think you are on the right track. Continue working and see if you get the right answer. If not, then we are here.:smile:
 
I suppose you could use v^2=u^2+2as
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
Replies
31
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
8K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K