Question

An ant crawls along a sidewalk with a velocity of 0.1 m/s in a direction that is 45 degrees relative to the edge of the sidewalk. After 14sec, how far will it have traveled in the direction parallel to the edge of the sidewalk?

A) 0.005m
B) 0.01m
C) 1.0m
D) 9.9m​

Answer 1

C) 1.0 m

Step-by-step explanation:

The component of the velocity parallel to the sidewalk is:

vₓ = v cos θ

vₓ = 0.1 m/s cos 45°

vₓ = 0.0707 m/s

The distance traveled after 14 seconds is:

d = vₓ t

d = (0.0707 m/s) (14 s)

d = 0.99 m

Closest answer is C) 1.0 m.

Answer 2

C) 1.0m

Step-by-step explanation:

An ant crawls along a sidewalk with a velocity of 0.1 m/s in a direction that is 45 degrees relative to the edge of the sidewalk. After 14sec, it will have traveled 1.0m in the direction parallel to the edge of the sidewalk.