# Vector Calculus

posted by .

An airplane is traveling in the direction 20degrees west of north at 700 km/hr. Find the component form of velocity of the airplane assuming that the positive x-axis represents due east and the positive y-axis represents due north.

• Vector Calculus -

Vx = -700 sin20 = -239.4 km/h
Vy = 700 cos20 = +657.8 km/h

• Vector Calculus -

nb kb

## Similar Questions

1. ### calculus 3

A ball is thrown northward into the air from the origin in three dimensional space ( the xy plane is the ground, the positive y-axis points north, positive x-axis is east and the positive z – axis is height above the ground ). The …
2. ### Physics

An airplane is traveling v = 850 km/h in a direction 38.5° west of north (Fig. 3-34). Figure 3-34. (a) Find the components of the velocity vector in the northerly and westerly directions. 1 km/h (north) 2 km/h (west) (b) How far north …
3. ### physics

You are traveling on an airplane. The velocity of the plane with respect to the air is 180 m/s due east. The velocity of the air with respect to the ground is 40 m/s at an angle of 30° west of due north. 1)What is the speed of the …
4. ### Algabra 2

An airplane cruises northeast at a steady rate. Its speed can be broken down into two components:320 miles per hour due north and 40 milers per hour due north be the direction of the positive y-axis and let due east be the direction …
5. ### Physics

You are traveling on an airplane. The velocity of the plane with respect to the air is 110.0 m/s due east. The velocity of the air with respect to the ground is 39.0 m/s at an angle of 30° west of due north. 1) What is the speed of …
6. ### phyics

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 …
7. ### 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 …
8. ### Physics

Consider a map oriented so that the x axis runs east–west (with east being the "positive" direction) and y runs north–south (with north "positive"). A person drives 14 km to the west, then turns and drives 44 km to the south. Find …
9. ### Physics

On the map, let the +x-axis point east and the +y-axis north. An airplane flies at 990 km/h northwestward direction (i.e., midway between north and west). Find the components of its velocity. Repeat for the case when the plane flies …
10. ### 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 …

More Similar Questions