JEE MATHEMATICS MCQ: RATE MEASURE

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The position of a moving car at time

t

is given by

f(t) = a{t^2} + bt + c,t > 0,

where a, b and c are real numbers greater than 1. Then, the average speed of the car over the time interval

[{t_1},{t_2}]

is attained at the point

View answer and explanation

Correct option: C

({t_1} + {t_2})/2

Option C (

({t_1} + {t_2})/2

) is correct because it represents the time at which the instantaneous speed equals the average speed over the given interval, according to the Mean Value Theorem.

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