Question

A car drives 40km West, and then 160km North. What is the displacement of the car?

Answer 1

Answer: 1

Explanation:

Answer 2

Answer:

$\dashleftarrow _{40 \: km}↑ _{160 \: km}$

• from pythogras theorem:

${ \tt{displacement = \sqrt{ { (- 40})^{2} + {160}^{2} } }} \\ \\ = { \tt{ \sqrt{27200} }} \\ \\ ={ \tt{165 \: km}}$

Direction: tan(A) = 160/40

A = tan^-1 (160/40)

A =76°

Answer: Displacement is 165 km in N076°W