Question

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

Answer 1

Answer:14 s

Step-by-step explanation:

Given

Velocity of ant is 0.1 m/s in a direction
`45^(\circ)`

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

i.e. from diagram

`\sin 45=(1)/(L)`

`L=√(2)`

`time=(Distance)/(speed)`

`t=(√(2))/(0.1)`

`t=14.14 s`