## anonymous one year ago At 2:00pm a car's speedometer reads 50mph, and at 2:10pm it reads 65mph. Use the Mean Value Theorem to find an acceleration the car must achieve.

1. Jack1

ok, so do you understand the concept and how Mean Value Theorem works?

2. anonymous

I know that the Mean Value Theorem states that $\frac{ f(b) -f(a) }{ b-a }=f'(c)$

3. Jack1

yep all it means is that the average rate of change can be approximated to a constant so f(b) in this case is 65 mph f(a) is 50 b is 2:10 a is 2:00 f'(c) is the rate of change parallel to the curve, so in this case: the acceleration b-a = 10 mins = 0.166 hours f(b) - f(a) = 15 15/0.1666 =...?

4. anonymous

Ahhh the only thing I hadn't done when trying to solve it was converting the min to hours lol

5. anonymous

Got it! Thanks so much!

6. Jack1

coolski, props ;)