Question

A model airplane competition has the following rules: Each plane must fly to a point 1 km from the start and then back again. The point km winner is the plane with the shortest round-trip time. The contestants are free to launch their planes in any direction, so long as the plane travels exactly 1 km out and then returns. On the day of the race, a steady wind blows from the north at 8.5 m/s. Your plane can maintain an airs (speed relative to the air) of 15.0 m/s, and you know that starting, stopping, and turning times peed will be negligible. The question is: Should you plan to fly into the wind and against the wind on your round-trip, or across the wind flying east and west? Make a reasoned choice by working out the following round-trip times. The plane goes 1 km due north and then back. The plane goes to a point 1 km due east of the start and then back. The wind will affect the flight times differently along these two paths. Determine the average speed of your plane if it flies along the north-south route. For the east-west route, the velocity of the plane relative to the ground will be in the east-west direction, so the velocity of the plane with respect to the air will be at some non-zero angle as measured from this direction. Use trigonometry to find the speed of the plane with respect to the ground for the east-west route.

Answer 1

ナ 2 2 = !96.39's 11.223 2. 3S 92 mls