Problem: Vector Worksheet
I. An airplane flies with an airspeed (speed relative to the air) of 215 km/h. The wind is blowing at 45.0 km/h. Find the velocity of the plane (relative to the ground) if the plane is pointed straight west and the wind is:
i. blowing toward the west.
ii. blowing toward the east.
iii. blowing toward the south. Photo by MilborneOne / CC-BY-SA 3.0 (For part C be sure to calculate the angle as well.)
II. If you wanted the plane in #1 to fly straight west and the wind was from the south, calculate the heading of the plane (the direction/angle the plane is pointed) and its groundspeed. Hint: The 215 km/h will be the hypotenuse.
III. A teenager goes for a long walk. She travels 3.0 km north, 4.0 km east, 5.0 km south and 2.0 km west.
Photo by Petr Kratochvil / Public Domain
i. Find the distance she walked.
ii. Find her displacement.
IV. A motorboat can travel at 5.0 m/s relative to the water. The motorboat is crossing a river. The river is flowing east at 3.0 m/s and the boat is pointed north.
YouTube Video: "AP Physics 1: Kinematics 25: River-Crossing Problems".
i. Calculate the resultant velocity of the boat. Remember to also give the angle.
ii. If the river is 100. m wide, how far downstream will the boat travel?
V. A 220 kg sailboat has a force of 65 N applied to it in the southerly direction by the water and a 140 N force applied to the sail in a westerly direction. Find the acceleration of the sailboat. Accelerations are vectors, so include the direction (angle) of the acceleration.
The response should include a reference list. One-inch margins, Using Times New Roman 12 pnt font, double-space and APA style of writing and citations.