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Math Help - Calculus Word Problem

  1. #1
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    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 s=-8.25t^2+66t, where s is measured in feet and t is measured in seconds. Create a table showingthe position, velocity, and acceleration for each given value of t. What can be concluded?"

    Thanks for reading
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  2. #2
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    Quote Originally Posted by jimmyp View Post
    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 s=-8.25t^2+66t, where s is measured in feet and t is measured in seconds. Create a table showingthe position, velocity, and acceleration for each given value of t. What can be concluded?"

    Thanks for reading
    v(t) = s'(t)

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

    find the derivative functions and create your tables.
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  3. #3
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    Quote Originally Posted by skeeter View Post
    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!
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  4. #4
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    Quote Originally Posted by jimmyp View Post
    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 y = x^n then \frac{dy}{dx} = n x^{n-1}.
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