The position of a moving car at time t is given by f(t)=at2+bt+c,t>0 , where a,b and c are real numbers greater than1. Then the average speed of the car over the time interval t1,t2 is attained at the point
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a
at2−t1+b
b
t1+t2/2
c
2at1+t2+b
d
t2−t1/2
answer is B.
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Detailed Solution
f(t)=at2+bt+c,t>0f'(t)=2at+b Average =2at1+b+2at2+b2=at1+t2+b at point t1+t22