Thursday

August 21, 2014

August 21, 2014

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

(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 2:11amLet 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.

**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 ...

maths - a hiker walk due east at 4km per hour and a second hiker starting from ...

physics - A hiker makes four straight-line walks A 31 km at 299 degrees B 32 km ...

Physics - An 80 kg hiker climbs a 1000 m high hill at a constant speed. If the ...

math - A hiker travels N 33 degrees W for 15km, then turns 90 degrees and walks ...

physics - A 55 kg hiker starts at an elevation of 1600 m and climbs to the top ...

Physics - A hiker throws a rock with a mass of 1.4kg from a cliff that is 37 m ...

Physics - A hiker throws a ball at an angle of 21.0 degrees above the horizontal...