Chapter MPS, Problem 7.11MPS

To determine

To Find: The height of the boardwalk.

Answer to Problem 7.11MPS

  $1m$

Explanation of Solution

Given:

  $\begin{array}{l}\text{Height of Hugo when dropped the keys}=65m\\ \text{The height of the boardwalk after }t=2\sec \end{array}$

Formula Used:

  $t=\frac{1}{4}\sqrt{65-h}$

Calculation:

  $\begin{array}{l}\text{Height of Hugo when dropped the keys}=65m\\ \text{The height of the boardwalk after }t=2\sec \\ t=\frac{1}{4}\sqrt{65-h}\\ \text{Time at which hugo dropped the keys}=t=\frac{1}{4}\sqrt{65-65}=0\\ \text{Height of the boardwalk at }t=2\sec =\frac{1}{4}\sqrt{65-h}\\ \text{⇒}2=\frac{1}{4}\sqrt{65-h}\\ \text{⇒}8=\sqrt{65-h}\\ \text{⇒}64=65-h\\ \text{⇒}h=65-64\\ \text{⇒}h=1m\end{array}$

Conclusion:

Thus the height of the boardwalk is $1m$ .