Posted by **Joey** on Tuesday, June 19, 2012 at 8:57pm.

A hiker walks 10.0 km[NE], 5.0 km[W], and then 2.0 km[S] in 2.5 h.

(a) What is the hiker's displacement?

(b) In what direction must the hiker set out, in order to return by the most direct route to the starting point?

(c) If the hiker walks at a constant speed for the entire trip and returns by the most direct route, how long will the total walk take?

Thanks!

- Physics: Vectors -
**Elena**, Wednesday, June 20, 2012 at 2:11am
Let the starting point be in the origin of coordinate system. Then the points of the hicker’s route are A , B and C.

AB=10 => A (7.1; 7.1),

BC =5 => B(2.1; 7.1),

BC=2 => C (2.1; 5.1)

Displacement BC = sqrt(2.1²+5.1²)=5.22 km

The angle with +x-axis is arctan(5.1/2.1)=67.6º

s=10+5+2=17 km,

v=s/t=17/2.5 =6.8 km/h

L=10+5+2+5.22 =22.22 km,

t1=L/v=/6.8=3.27 h.

## Answer this Question

## Related Questions

- physics - The route followed by a hiker consists of three displacement vectors...
- Physics - A hiker follows a route that consists of three displacement vectors A...
- Science (Physics) - 1.A hiker started to walk from her campsite heading east ...
- physics - A hiker makes four straight-line walks A 31 km at 299 degrees B 32 km ...
- Physics - A hiker throws a rock with a mass of 1.4kg from a cliff that is 37 m ...
- maths - a hiker walk due east at 4km per hour and a second hiker starting from ...
- physics - A hiker starts at his camp and moves the following distances while ...
- Physics - A hiker hikes in a straight line and maintains a constant velocity of...
- Physics - An 80 kg hiker climbs a 1000 m high hill at a constant speed. If the ...
- physics - A 55 kg hiker starts at an elevation of 1600 m and climbs to the top ...

More Related Questions