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 :

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 :

${{\left( {{t_1} + {t_2}} \right)} \over 2}$

${{\left( {{t_2} - {t_1}} \right)} \over 2}$

2a(t₁ + t₂) + b

a(t₂ – t₁) + b

Solution

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