STOPPING DISTANCEOF A RACE CAR- During a test bythe editors of an auto magazine,
ID: 2836809 • Letter: S
Question
STOPPING DISTANCEOF A RACE CAR-
During a test bythe editors of an auto magazine, the stopping distance s (in ft) ofte MacPHerson X-2 racing car conformed rule
where t is time in seconds after brakesapplied
a) Find an expression for the car's velocity v at anytime t.
b) What was the car's velocity whn brakes were firstapplied?
c) What was the car's stopping distance for thatparticular test??
STOPPING DISTANCEOF A RACE CAR- During a test bythe editors of an auto magazine, the stopping distance s (in ft) ofte MacPHerson X-2 racing car conformed rule s = f(t) = 120t-15t^2 ( t > = 0) where t is time in seconds after brakesapplied a) Find an expression for the car's velocity v at anytime t. b) What was the car's velocity whn brakes were firstapplied? c) What was the car's stopping distance for thatparticular test??Explanation / Answer
a> s(t) = 120t-15t2
s'(t)= v(t)= 120 - 30t
b> v(0)= 120- 30*0=120ft/s
c> when the velocity will be zero the car will stop.
so v(t)=0 =>t=4s so s =120* 4 - 15* 16= 240ft
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