Mathematics · 2020
JEE Main · 6 September 2020, Shift 1 · Q60
The position of a moving car at time t is given by f( t )= at^2+ bt + c, t >0, where a, b and c are real numbers greater than 1. Then the average…
The position of a moving car at time $\displaystyle t$ is given by $\displaystyle f(\mathrm{t})=\mathrm{at}^2+\mathrm{bt}+\mathrm{c}, \mathrm{t}>0$, where $\displaystyle \mathrm{a}, \mathrm{b}$ and c are real numbers greater than 1. Then the average speed of the car over the time interval $\displaystyle \left[\mathrm{t}_1, \mathrm{t}_2\right]$ is attained at the point :
Official answer
(2)
$\displaystyle \left(t_1+t_2\right) / 2$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.