Question

On his fishing trip Justin rides on hist 12 km south. The fish aren't biting so he changes location and goes 4 km west. What is Justin's displacement?

Answer 1

Answer:

Justin's displacement is 12.65 km.

Step-by-step explanation:

Since Justin rides 12 km south, then 4 km west, his displacement can be determined by applying Pythagoras theorem to the sketch of his journey. Let his displacement be represented by s,

$/Hyp/^{2}$ = $/Adj1/^{2}$ + $/Adj2/^{2}$

$s^{2}$ = $/4/^{2}$ + $/12/^{2}$

   = 16 + 144

$s^{2}$  = 160

⇒ s = $\sqrt{160}$

      = 12.6491

s ≅ 12.65 km

Justin's displacement is 12.65 km.