You are travelling in your 2000kg pick-up at 20 m/s up a hillwith a 6.0 degree i

Question

You are travelling in your 2000kg pick-up at 20 m/s up a hillwith a 6.0 degree incline when you see a goose crossing the road24m in front of you. Can you stop the truck before hitting thegoose? The static friction coefficient between the tires and theroad surface is 0.80. You are travelling in your 2000kg pick-up at 20 m/s up a hillwith a 6.0 degree incline when you see a goose crossing the road24m in front of you. Can you stop the truck before hitting thegoose? The static friction coefficient between the tires and theroad surface is 0.80.

Explanation / Answer

Yes , because The acceleration is           a= gsin + g cos            = (9.8 m/s2) sin 6o + (0.8)(9.80m/s2) cos6o            = 8.821m/s2    We know that, the distance travelled by theobject is                         s = [v2- u2]/(2a)     Here v = 20 m/s            u =0    On substitution                 s = 22.60 m               = 8.821m/s2    We know that, the distance travelled by theobject is                         s = [v2- u2]/(2a)     Here v = 20 m/s            u =0    On substitution                 s = 22.60 m   

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