Chapter 3, Problem 53GP

To determine

The angle made by arrow to hit the apple.

Answer to Problem 53GP

6.2°

Explanation of Solution

Given:

Speed of an arrow, u = 35 m/s

Distance, d = 27 m

Formula Used:

  $\begin{array}{l}t=\frac{24\sin \theta }{g}\\ R=\frac{u^2\sin 2\theta }{g}\end{array}$

Calculation:

Substituting the value

  $\begin{array}{l}t=\frac{24\sin \theta }{g}\\ t=\frac{70\sin \theta }{g}\end{array}$

Substituting the value

  $\begin{array}{l}27=35\times \frac{70\sin 2\theta }{2\times 10}\\ \sin 2\theta =\frac{27\times 2\times 10}{35\times 70}\\ 2\theta ={\sin }^{-1}0.22\\ \theta =6.2°\end{array}$

Conclusion:

The angle with which it will hit apple is 6.2°