JEE MATHEMATICS MCQ: MEAN VALUES THEOREM

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Application +4 | -1

The position of a moving car at time

t

is given by

f(t)=a t^2+b t+c, t>0

where

a, b

and

c

are real numbers greater than 1. Then the average speed of the car over the interval

\left[t_1, t_2\right]

is attained at the point

View answer and explanation

Correct option: A

\frac{t_1+t_2}{2}

Option A (

\frac{{t_1+t_2}}{{2}}

) is correct because the average speed is attained at the midpoint of the interval [t1, t2] according to Lagrange's Mean Value Theorem.

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