JEE Main 2020 — Application Of Derivatives Question with Solution
From: JEE Main 2020 (Online) 6th September Morning Slot
Question
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 than 1. Then the average speed of the car over the time interval [t1 , t2 ] is attained at the point :
given by f(t) = at2 + 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 [t1 , t2 ] is attained at the point :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Vav = = f'(t)
= 2t + b
a(t2 + t1) + b = 2at + b
t =
= 2t + b
a(t2 + t1) + b = 2at + b
t =
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