Chapter 8.7, Problem 19E

To determine

To Find: The explanation for the fact that the projectile will travel twice as far as it did before.

Answer to Problem 19E

Thesquaring velocity makes the range four times the original one this shows that the hypothesis is wrong.

Explanation of Solution

Given:

The Janelle fired a projectile and measured the range she hypothesizes that if the magnitude that if the magnitude of the initial velocity is doubled and the angle of the velocity remain the same.

Calculation:

Since, the magnitude of the initial velocity is doubled then the range of the projectile is given by,

  $d=\frac{v^2\sin 2\theta }{g}$

In the above equation find the value of $t$ such that $y=0$ and then then the value of $2x$ is obtained.

When the initial velocity is doubled the squaring effect of the velocity is doubled and the squaring velocity makes the range four times the original one this shows that the hypothesis is wrong.