Physics

posted by .

A train at a constant 41.0 km/h moves east for 38 min, then in a direction 44.0° east of due north for 25.0 min, and then west for 59.0 min. What are the (a) magnitude (in km/h) and (b) angle (relative to north, with east of north positive and west of north negative) of its average velocity during this trip?

  • Physics -

    Vavg. = V1 + V2 + V3,
    Vavg.=41km/h @ 0Deg + 41km/h @ 46Deg. +
    41km/h @ 180Deg.

    X = 41*cos(0) + 41*cos46 + 41*cos180 =
    28.5 km/h.
    Y = 41*sin(0) + 41*sin46 + 41*sin180 =
    29.5 km/h.

    tanA = Y/x = 29.5 / 28.5 = 1.03484,
    A = 46 Deg.,CCW=44 Deg. East of North.

    V = X/cosA = 28.5 / cos46 = 41 km/h.

    V = 41 km/h @ 44 Deg. East of North

  • Physics -

    CORRECTION:

    See later post: Sun,2-9-14, 6:16 AM.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A train moving at a constant speed of 68.0 km/h moves east for 33.0 min, then in a direction 40.0° east of due north for 30.0 min, and then west for 59.0 min. What is the average velocity of the train during this run?
  2. physics

    A train moving at a constant speed of 68.0 km/h moves east for 33.0 min, then in a direction 40.0° east of due north for 30.0 min, and then west for 59.0 min. What is the average velocity of the train during this run?
  3. Physics

    A train at a constant 41.0 km/h moves east for 38 min, then in a direction 44.0° east of due north for 25.0 min, and then west for 59.0 min. What are the (a) magnitude (in km/h) and (b) angle (relative to north, with east of north …
  4. physics

    A train at a constant 41.0 km/h moves east for 38 min, then in a direction 44.0° east of due north for 25.0 min, and then west for 59.0 min. What are the (a) magnitude (in km/h) and (b) angle (relative to north, with east of north …
  5. physics

    A train at a constant 68.0 km/h moves east for 41 min, then in a direction 65.0° east of due north for 22.0 min, and then west for 60.0 min. What are the (a) magnitude (in km/h) and (b) angle (relative to north, with east of north …
  6. physics

    A train at a constant 68.0 km/h moves east for 41 min, then in a direction 65.0° east of due north for 22.0 min, and then west for 60.0 min. What are the (a) magnitude (in km/h) and (b) angle (relative to north, with east of north …
  7. Physics

    A train at a constant 44.0 km/h moves east for 42 min, then in a direction 45.0° east of due north for 17.0 min, and then west for 51.0 min. What are the (a) magnitude (in km/h) and (b) angle (relative to north, with east of north …
  8. Physics

    A train at a constant 44.0 km/h moves east for 42 min, then in a direction 45.0° east of due north for 17.0 min, and then west for 51.0 min. What are the (a) magnitude (in km/h) and (b) angle (relative to north, with east of north …
  9. Physics

    A train at a constant 41.0 km/h moves east for 28 min, then in a direction 53.0° east of due north for 15.0 min, and then west for 64.0 min. What are the (a) magnitude (in km/h) and (b) angle (relative to north, with east of north …
  10. physics

    A train at a constant 43.0 km/h moves east for 20.0 min, then in a direction 54.0° east of due north for 25.0 min, and then west for 30.0 min. What are the (a) magnitude and (b) angle (relative to east) of its average velocity during …

More Similar Questions