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3-47.
  1. After completing the Ramp Lab in Chapter 2, Marquita decided to ride her bicycle down a nearby hill to gain more data on rolling objects. The data she collected is shown in the table below. Homework Help ✎

    Time (sec)

    0.0

    2.0

    3.1

    6.0

    7.5

    9.0

    Distance (m)

    0.0

    3.8

    9.1

    32.7

    49.7

    69.5

    1. Can Marquita use this table to determine her exact velocity at t = 6. Explain.

    2. Approximate Marquita's velocity at t = 6 using Hana' s method.

    3. Marquita' s teacher observed that her data fits the function d(t) = 0.789t2 + 0.703t − 0.338. Assuming that her teacher is correct, compute Marquita's exact velocity at t = 6 and t = 10.

Tables only give us select values of a function. What values are we given that are close to t = 6? Are these values close enough to find Marquita's exact velocity at t = 6?

Note: Since we do note know values that are infinitely close to t = 6, we can find Marquita's AROC (average velocity), not her IROC (actual velocity).

Use the Power Rule to find the IROC/derivative/slope function/velocity funciton.Then evaluate at t = 6 and again at t = 10.