Physics

posted by .

A car is driven east for a distance of 46 km, then north for 29 km, and then in a direction 29° east of north for 22 km. Determine (a) the magnitude (in km) of the car's total displacement from its starting point and (b) the angle (from east) of the car's total displacement measured from its starting direction.

  • Physics -

    X = 22*cos61 + 46 = 56.67 km.
    Y = 22*sin61 + 29 = 48.24 km.

    a. D^2 = X^2 + Y^2 = 5538.74
    D = 74.4 km.

    b. tanA = Y/X = 48.74/56.67 = 0.85124
    A = 40.4o.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 displacement …
  2. physics

    A car is driven east for a distance of 42 km, then north for 25 km, and then in a direction 31° east of north for 26 km. Determine (a) the magnitude (in km) of the car's total displacement from its starting point and (b) the angle …
  3. physics

    A car is driven east for a distance of 49 km, then north for 35 km, and then in a direction 33° east of north for 27 km. Draw the vector diagram and determine the total displacement of the car from its starting point. What is the …
  4. physics

    A car is driven east for a distance of 49 km, then north for 35 km, and then in a direction 33° east of north for 27 km. Draw the vector diagram and determine the total displacement of the car from its starting point. What is the …
  5. physic

    A car is driven east for a distance of 44 km, then north for 25 km, and then in a direction 27° east of north for 28 km. Determine (a) the magnitude (in km) of the car's total displacement from its starting point and (b) the angle …
  6. PHY

    A car is driven east for a distance of 43 km, then north for 25 km, and then in a direction 26° east of north for 26 km. Determine (a) the magnitude (in km) of the car's total displacement from its starting point and (b) the angle …
  7. physics

    A car is driven east for a distance of 49 km, then north for 21 km, and then in a direction 30° east of north for 27 km. Determine (a) the magnitude (in km) of the car's total displacement from its starting point and (b) the angle …
  8. physical

    A car is driven east for a distance of 43 km, then north for 25 km, and then in a direction 26° east of north for 26 km. Determine (a) the magnitude (in km) of the car's total displacement from its starting point and (b) the angle …
  9. physics

    A car is driven east for a distance of 41 km, then north for 21 km, and then in a direction 30° east of north for 25 km. Determine (a) the magnitude (in km) of the car's total displacement from its starting point and (b) the angle …
  10. Science

    A car is driven east for a distance of 43 km, then north for 20 km, and then in a direction 27° east of north for 25 km. Determine (a) the magnitude (in km) of the car's total displacement from its starting point and (b) the angle …

More Similar Questions