Chapter 12.2, Problem 46E

To determine

To find: that how far has the ball dropped more or less than the theoretical model predicts based on information given.

Answer to Problem 46E

Less by 6.176 centimetres

Explanation of Solution

Given:

  $\begin{array}{l}x=0.68\\ y=220.4\end{array}$

Calculation:

Theoretical model equation:

  $\text{distance}=490{\left(time\right)}^2$

Replacing time with 0.68

  $\text{distance}=490{\left(68\right)}^2=226.576$

The distance expected is 226.576, whereas the true distance is 220.4

  $226.576-220.4=6.176$

Therefore, the true distance is 6.176 less than that of the theoretical model's expected value.

Hence, the correct option is (e)