A black ford pickup is stopped at a red light. When the light turns green the tr

Question

A black ford pickup is stopped at a red light. When the light turns green the truck begins to accelerate forward at a constant rate. At the same instant the truck begins to accelerate, a red mustang passed the truck going 30 mi/hr. The truck continues to accelarate and catches up to the car after 10 seconds.

a) determine the acceleration of the truck in (ft/sec^2)

b) How fast is the truck moving when it catches the car in miles per hour?

c) How far (in ft) have the two vechicles moved from the red light when the truck catches the car?

Explanation / Answer

Speed of mustang=30 mi/hour=44 ft/sec

So acceleration=v/t=44/10=4.4 ft/sec2

v-u/t=a

v=final velocity

u=0,initial velocity

a=acceleration

v/10=4.4 ft/s2

So veleocity,v=44 ft/sec

distance,=s

v2=u2+2as

44 2ft/s=0+2*4.4s

s=44/8.8= 5 ft

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