An ant crawls along a sidewalk with a velocity of 0.1 m/s in a direction that is 45° relative to edge of the sidewalk. If it has traveled 1 m perpendicular to the edge of the sidewalk, how long has it been walking?


A.) 0.07 s


B.) 5 s


C.) 14 s


D.) 45 s

Respuesta :

Answer:14 s

Explanation:

Given

Velocity of ant is 0.1 m/s in a direction [tex]45^{\circ}[/tex]

if it has traveled 1 m perpendicular to the edge of the sidewalk

i.e. from diagram

[tex]\sin 45=\frac{1}{L}[/tex]

[tex]L=\sqrt{2}[/tex]

[tex]time=\frac{Distance}{speed}[/tex]

[tex]t=\frac{\sqrt{2}}{0.1}[/tex]

[tex]t=14.14 s[/tex]

Ver imagen nuuk