Two Dimensional Kinematics Vectors 1. If a pigeon flies 25km north and then 10km

Question

Two Dimensional Kinematics Vectors 1. If a pigeon flies 25km north and then 10km to the south west and then 15km 30 north of east how far will the bird have traveled from its original location? northeast direction what will be its final displacement from its original location? on the runway at 20m/s relative to the aircraft carrier in a southwest direction, what 2. If a plane flies 75km south, then 50km 25° north of west and then 85km in a 3. If you are on an aircraft carrier traveling 5m/s to the north and an aircraft is taking off is the aircrafts velocity (magnitude and direction) relative to the land? 4. If you are on a train accelerating at 3m/s and you have a toy car that accelerates at 1.2m/s2 perpendicular to the direction the train is traveling, what would be the acceleration (magnitude and direction) relative to the gorund outside the train?

Explanation / Answer

1. r1 = 25 km j^

r2 = 10 km (-cos45 i^ - sin45j^ )

r2 = - 7.07 i^ - 7.07 j^

r3 = 15 (cos30 i + sin30 j) = 13 i^ + 7.5j^

r = r1 + r2 + r3

r = 5.93 i + 25.43 j

distance = magnitude of r = sqrt(5.93^2 + 25.43^2)

= 26.1 km ......Ans

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