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

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

$\sin 45=\frac{1}{L}$

$L=\sqrt{2}$

$time=\frac{Distance}{speed}$

$t=\frac{\sqrt{2}}{0.1}$

$t=14.14 s$