Find the vector components along the directions noted in parentheses.

Question

a. a car displaced 45degrees north of east by 10.0 km (north east)

b. a duck accelerating away from a hunter at 2.0meter per second squared at an angle of 35degrees to the ground (horizontal and vertical)

Answer 1

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Take the trig functions. I start the angle measurement at N, then clockwise.

a) Ncomponent=10km*cos45
Ecomponent=10km*sin45

b) Vertical component=2.0m/s^2 sin35
Horizontal component=2.0m/s^2 cos35

Answer 2

a plane travels 2.5 km at an angle of 35degrees to the ground then changes direction and travels 5.2 km at an angle of 22degrees to the ground. What is the magnitude and direction of the plane's displacement?

Answer 3

7.7km 26 degrees

Answer 4

7.5km

Answer 5

7.1 is what I meant

Answer 6

A. 7.1 m N
7.1 m E

B. 1.15 m vertical
1.64 m horizontal