Physics: Vectors

posted by .

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?


  • Physics: Vectors -

    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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    A hiker follows a route that consists of three displacement vectors A, B, and C. Vector A is along a measured trail and is 1550 meters in a direction 25 degrees north of east. The direction of Vector B is 41 degrees east of south, …
  2. physics

    The route followed by a hiker consists of three displacement vectors , , and . Vector is along a measured trail and is 1060 m in a direction 20.0 ° north of east. Vector is not along a measured trail, but the hiker uses a compass …
  3. Science (Physics)

    1.A hiker started to walk from her campsite heading east with a velocity of 5 m\s after 6 seconds, she attained a velocity of 7 m\s. What is the average velocity of the hiker?
  4. physics

    A hiker makes four straight-line walks A 31 km at 299 degrees B 32 km at 210 degrees C 29 km at 59 degrees D 22 km at 150 degrees in random directions and lengths starting at position (41 km, 41 km). Which vector will return the hiker …
  5. physics

    A hiker starts at his camp and moves the following distances while exploring his surroundings: 70.0m north, 2.75 x 10^2m east, 130m at an angle 30.0 degrees north of east, and 1.50 x 10^2m south. a.) find his resultant displacement …
  6. maths

    a hiker walk due east at 4km per hour and a second hiker starting from the same point walks 55 degree north-east at the rate of 6km per hour. H ow far apart will they be after 2 hours. this is my ques but .i am having problem that …
  7. Physics

    A hiker throws a rock with a mass of 1.4kg from a cliff that is 37 m above the ground . The hiker gives the rock an initial downward velocity of 8.5 m/s. a) What is the energy of the rock at the moment the hiker releases it?
  8. Algebra

    Two hikers are 22 miles apart and walking toward each other. They meet in 5 hours. Find the rate of each hiker if one hiker walks 2.2 mph faster than the other.
  9. physics

    2.A hiker used a compass to orient himself as he walked 3.00 km in a direction 50.0° north of west, and then an additional 2.00 km in a direction 20.0° south of west. The trip took 1.25 hours. Calculate the magnitude and direction …
  10. Physics

    A tourist hikes 3.4 km North to visit a landmark and then hikes an additional 1.2 km South to a lake. What is the hiker's total distance traveled and the hiker's displacement?

More Similar Questions