Question

Kana is practicing her golf swing at the driving range. Her first hit can be described by the displacement

Answer 1

Answer:

The distance difference between those swings is 20.6, approximately.

Step-by-step explanation:

To find the difference between the distance of each swing, we need to subtract vectors and find the module of the resulting vector.

$d_{1}=(55,5)$ represents the first swing.

$d_{2}=(75,10)$ represents the second swing.

In the image attached, the difference is shown by vector $w$.

Mathematically, this displacement is defined

$w=d_{2}-d_{1}$

$w=(75,10)-(55,5)\\w=(75-55,10-5)\\w=(20,5)$

Now, we find its module

$|w|=\sqrt{20^{2} +5^{2} }=\sqrt{400+25}=\sqrt{425}\\ |w| \approx 20.6$

Therefore, the distance difference between those swings is 20.6, approximately.