At 9:13 A.M., a sports car is traveling 34 miles per hour. Two minutes later, the car is traveling 84 miles per hour. The mean value theorem guarantees that at some time during this two-minute interval, the car's acceleration is exactly A miles per hour squared. Compute the value of A

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Answer:

Acceleration will be [tex]25miles/hour^2[/tex]                    

Explanation:

We have given that car is traveling with speed 34 miles per hour

So initial speed of the car u = 34 miles per hour

After 2 hour speed will be 84 miles per hour

So final speed V = 84 miles per hour

Time = 2 hour

From first equation of motion we know that [tex]v=u+at[/tex]

So acceleration [tex]a=\frac{v-u}{t}=\frac{84-34}{2}=25miles/hour^2[/tex]