A car is driven east for a distance of 88 km, then north for 28 km, then in a direction 30 degrees east of north for 25 km. Determine the magnitude of the displacement (in kilometers) of the car from its starting point.


  1. 👍 0
  2. 👎 0
  3. 👁 250
  1. add them as vectors:

    displacement=88km E + 28km N + 25cos30 N + 25sin30 E.

    add the n, and the e components, and add.

Respond to this Question

First Name

Your Response

Similar Questions


    A gas station stands at the intersection of a north-south road and an east-west road. A police car is traveling towards the gas station from the east, chasing a stolen truck which is traveling north away from the gas station. The

    asked by MILEY on April 8, 2010
  2. Calculus

    A road running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and an airplane is flying east above the second road. At a particular time the car is 15 kilometers to

    asked by Meghan on April 14, 2018
  3. Physics

    A biker rides700m north 300m east 400m north, 100m west, 1200m south 300m east and finally 100m north .Draw the path of motion of the biker. What distance did he cover?What was his displacement?

    asked by Shreya Shree on June 12, 2016
  4. physics

    A 2,200-kg car moving east at 10.0 m/s collides with a 3,000-kg car moving north. The cars stick together and move as a unit after the collision, at an angle of 35.0° north of east and at a speed of 5.16 m/s. Find the speed of

    asked by king on December 13, 2015

    a 60 km/h wind is blowing in a direction 30 degrees north of east. a. what is the component of the velocity oriented to the east? b. what is the component of the velocity oriented to the north? The component east is 60cos30. For

    asked by Katrina on November 11, 2006
  2. College Physics

    A car’s initial velocity is 50.0 km/h in the direction 60.0° north of east, and its final velocity is 70.0 km/h in the direction 40.0° south of east. If the time period for this journey is 30.0 minutes, what is the magnitude

    asked by Lobna on May 30, 2018
  3. calculus

    A police cruiser, approaching a right –angled intersection from the north is chasing a speeding car that has turned the corner and is now moving straight east. When the cruiser is 0.6 mi north of the intersection and the car 0.8

    asked by Mr. goodstuff on January 17, 2012
  4. Physics

    On the map, let the +x-axis point east and the +y-axis north. A)An airplane flies at 990 km/h northwestward direction (i.e., midway between north and west). Find the components of its velocity. B)Repeat for the case when the plane

    asked by Anonymous on January 29, 2017
  1. Physics

    A sailboat tacking against the wind moves as follows: 2.6 km at 45° east of north, 4.5 km at 59° west of north, 2 km at 45° east of north. What is the net displacement for the entire motion? Magnitude in km? Direction degrees

    asked by Anonymous on August 31, 2019
  2. Geometry

    A boat left dock A, traveled north for 10 miles, then 45 East of north for 20 miles and docked at B. A.How far north did the boat travel? How far east did it travel? B. Find the magnitude and direction of the direct-path vector

    asked by Shannon on December 1, 2015
  3. Physics

    A person desires to reach a point that is 2.80 km from her present location and in a direction that is 35.0° north of east. However, she must travel along streets that are oriented either north-south or east-west. What is the

    asked by Mya on September 19, 2013
  4. physics

    A car is driven east for a distance of 50 km, then north for 30 km, and then in a direction 30 degrees east of north for 25 km. Sketch the vector diagram and determine a) the magnitude and b) the angle of the car's total

    asked by Mallory on September 13, 2009

You can view more similar questions or ask a new question.