Stopping distances on a downward slope

[GayYoda]

Homework Statement

A 1500 kg car is traveling at a speed of 30.0 m s^-1 when the driver slams on the brakes and skids to a halt. Determine the stopping distance if the car is traveling down a 10^o slope. The coefficient of kinetic friction between the car
and the road is 0.80.

Homework Equations

F=ma

The Attempt at a Solution

i know that KE = Frictional force * stopping distance and i think in this case it is KE = frictional force * stopping distance - acceleration due to gravity * stopping distance but i can't work out what the acceleration due to gravity because of the slope

 

[BvU]

Hello GY,

Whatever happened to the template ? You can't just delete it !

 

[CWatters]

Hints:

Does the car only have KE at the start of the skid?

You can resolve any vector such as the force of gravity into two component vectors at right angles to each other.

 

[BvU]

i know that KE = Frictional force * stopping distance

That is valid in a horizontal plane. What when the plane is at an angle ?