How far will a car coast up a slope before rolling back down?

[kappcity06]

A car traveling at 16.0 m/s runs out of gas while traveling up a 21.0 degree slope.

How far up the hill will it coast before starting to roll back down?

I tried

1/2mv^2=mgh
1/2(16)^2=9.8h
13.06=h

can anyone confirm if this is correct or not. I;m not sure if I have to use trig to solve this or not.

help please.

 

[DylanB]

looks good. the question is asking for the distance up the hill not just simply the height difference, so you'll have to use trig to find that.

 

[kappcity06]

si it would be sin(21)=13.06/x

x being the hyp/answer?

 

[kappcity06]

yea that was the answer