Significant affect on the velocity calculation

Reference no: EM13337908

If a person driving a vehicle slams on the brakes and skids toa stop, the length of a skid mark can be modeled byS(v,w)=.000013wv2 feet, where the vehicle was travelingv miles per hour when the driver slammed on the brakes and thevrehicle weighs w pounds. The investigator measures the skid marksat 112 ft long and the vehicle weighed 3145 pounds. Note that thevehicle was going 50 mph.

a) Determine the velocity at which the vehicle must have veentraveling if it was empty.

b) Its possible that not everything was in the vehicle when itwas weighed. Therefore, the investigators ability to predict thevelocity was affected. Find a formula for the rate of change of thevelocity of a vehicle with respect to its weight. How quickly willthe velocity of the 3145 pound vehicle that made skid marks 112 ft.long be changing when its weight increases?

c) The investigator knows that there was an average build male6'1" tall, female 5'5" tall and a chubby 2 year old and his carseat, would this have a significant affect on the velocity calculation?

Reference no: EM13337908

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