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so i have this physics problem which i dont understand completely so if i could get some help that'd be great! so here goes:

A 1500kg car is being pulled up a ramp at an angle of 18 degrees. Its being pulled by a tension of T at 27 degrees from the hill. *or 45 degrees* . I need to know the acceleration of the car if the max tension can be 8000N. Also, i need to know the distance it would travel from stop in 5 seconds. Thanks! *Assume frictionless surface*

Heres what i did:

---i set up my FBD w/ my tension and my Fn, and my mg. Set my coordinate systems to up the hill and up towards the sky. So my equations are as follows.

EFx = 8000cos27 - mhsin18=max

EFy = FN + 8000sin27 - mgcos18 = may=0

so i got acceleration was equal to 1.7236666 m/s*s

then i used D=vit + 1/2 a t *t and got the distance to be 21.55 is this correct?

Thanks a billion!

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