1. ## Calculus Word Problem

I've been working on this and I'm not quite sure how I'd approach this problem and solve down. Here's the problem:

"A car is travelling at a rate of 66 feet per second (45 miles per hour) when the brakes are applied. The position function for the car is given by $\displaystyle s=-8.25t^2+66t$, where $\displaystyle s$ is measured in feet and $\displaystyle t$ is measured in seconds. Create a table showingthe position, velocity, and acceleration for each given value of $\displaystyle t$. What can be concluded?"

2. Originally Posted by jimmyp
I've been working on this and I'm not quite sure how I'd approach this problem and solve down. Here's the problem:

"A car is travelling at a rate of 66 feet per second (45 miles per hour) when the brakes are applied. The position function for the car is given by $\displaystyle s=-8.25t^2+66t$, where $\displaystyle s$ is measured in feet and $\displaystyle t$ is measured in seconds. Create a table showingthe position, velocity, and acceleration for each given value of $\displaystyle t$. What can be concluded?"

v(t) = s'(t)

a(t) = v'(t) = s''(t)

find the derivative functions and create your tables.

3. Originally Posted by skeeter
v(t) = s'(t)

a(t) = v'(t) = s''(t)

find the derivative functions and create your tables.
Hi again,

I don't know how to find the derivative functions and what to plug into the table values -- could someone please show me step by step how I would go about doing this?

Thanks a lot!

4. Originally Posted by jimmyp
Hi again,

I don't know how to find the derivative functions and what to plug into the table values -- could someone please show me step by step how I would go about doing this?

Thanks a lot!
Surely you're familiar with the rule that if $\displaystyle y = x^n$ then $\displaystyle \frac{dy}{dx} = n x^{n-1}$.