The position of a moving car at time $ t $ is given by $ f(t)=a t^{2}+b t+c, t0 $, where $ a $, $ b $ and $ c $ are real numbers greater than 1. Then the average speed of the car over the time interval $ \left[t_{1}, t_{2}\right] $ is attained at the point : [JEE Main 2020, 6 Sep (Shift 1)]

Question

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 time interval $ \left[t_{1}, t_{2}\right] $ is attained at the point : [JEE Main 2020, 6 Sep (Shift 1)]

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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 \(…

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The position of a moving car at time \( t \) is given by \( f(t)=a t^{2}+b t+c, t&gt;0 \), where \( a \), \( b \) and \(…

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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 \(…