(Steps Shown) ACCELERATION After t hours of an 8-hour trip, a car has gone D(t)=64 t+(10)/(3) t^2-2/9 t^3 kilometers. Derive a formula expressing the acceleration
Question: ACCELERATION After \(t\) hours of an 8-hour trip, a car has gone
\(D(t)=64 t+\frac{10}{3} t^{2}-\frac{2}{9} t^{3}\)
kilometers.
- Derive a formula expressing the acceleration of the car as a function of time.
- At what rate is the velocity of the car changing with respect to time at the end of 6 hours? Is the velocity increasing or decreasing at this time?
- By how much does the velocity of the car actually change during the seventh hour?
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