197k views
1 vote
Please help don't for get to show work

Bob walks 32m south turns and runs for 45m east. How much distance did he cover?

 
What is Bob's displacement?

1 Answer

3 votes
-- Bob covered a distance of (32m + 45m) = 77 meters.

-- His displacement is the straight-line distance and direction
from his starting point to his ending point.

The straight-line distance is

D = √(32² + 45²)
D = √(1,024 + 2,025)
D = √3,049 = 55.22 meters

The direction is the angle whose tangent is (32/45) south of east.

tan⁻¹(32/45) = tan⁻¹(0.7111...) = 35.42° south of east.
User Rburmorrison
by
4.8k points