An automobile is driven down a straight highway such that after $0 \leq t \leq 12$ seconds it is $s=4.5 t^{2}$ feet from its initial position. (a) Find the average velocity of the car over the interval $[0,12] .$ (b) Find the instantaneous velocity of the car at $t=6$
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Step 1
Step 1: To find the average velocity over the interval $[0,12]$, we use the formula for average velocity: $\text{Average Velocity} = \frac{s_{12} - s_{0}}{12 - 0}$ where $s_{12}$ is the position at $t=12$ and $s_{0}$ is the position at $t=0$. Show more…
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