EXAMPLE 4 If an object moves in a straight line with position function s = f(t),

Question

EXAMPLE 4 If an object moves in a straight line with position function s = f(t), then the average velocity between t = a and t = b is f(b) - f(a)/ b - a and the velocity at t = c is f'(c). Thus the Mean Value Theorem tells us that at some time t = c between a and b the instantaneous velocity f'(C) is equal to the average velocity. For instance, if a car traveled 140 km in 2 hours, then the speedometer must have read km/h at least once. In general, the Mean Value Theorem can be interpreted as saying that there is a number at which the instantaneous rate of change is equal to the average rate of change over an interval.

Explanation / Answer

1) Yes, You use the mean value theorem for derivatives, average value rule.

= 70

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.