contestada

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

Respuesta :

Answer:

[tex] \dashleftarrow _{40 \: km}↑ _{160 \: km}[/tex]

• from pythogras theorem:

[tex]{ \tt{displacement = \sqrt{ { (- 40})^{2} + {160}^{2} } }} \\ \\ = { \tt{ \sqrt{27200} }} \\ \\ ={ \tt{165 \: km}}[/tex]

Direction: tan(A) = 160/40

A = tan^-1 (160/40)

A =76°

Answer: Displacement is 165 km in N076°W