Bill Smith throws a paper airplane while sitting in his office. The airplane has
ID: 1328801 • Letter: B
Question
Bill Smith throws a paper airplane while sitting in his office. The airplane has a velocity of 5.80 m/s due E relative to the air when it encounters a gust of wind with a velocity of 10.0 m/s directed at 21.8' SW relative to the ground. What are the speed and direction of the plane relative to the ground? Bill Smith throws a paper airplane while sitting in his office. The airplane has a velocity of 5.80 m/s due E relative to the air when it encounters a gust of wind with a velocity of 10.0 m/s directed at 21.8' SW relative to the ground. What are the speed and direction of the plane relative to the ground? Bill Smith throws a paper airplane while sitting in his office. The airplane has a velocity of 5.80 m/s due E relative to the air when it encounters a gust of wind with a velocity of 10.0 m/s directed at 21.8' SW relative to the ground. What are the speed and direction of the plane relative to the ground? Bill Smith throws a paper airplane while sitting in his office. The airplane has a velocity of 5.80 m/s due E relative to the air when it encounters a gust of wind with a velocity of 10.0 m/s directed at 21.8' SW relative to the ground. What are the speed and direction of the plane relative to the ground?Explanation / Answer
speed is v = sqrt(5.8^2+10^2+(2*5.8*10*cos(90-21.8))) = 13.3 m/s
direction is theta = atan(vy/vx)
vy = 10*cos(21.8) = 9.3 m/s
vx = 5.8+(10*sin(21.8)) = 9.5 m/s
then theta = atan(9.5/9.3) = 45.7 degrees relative air and
relarive to ground is 90-45.7 = 44.3 degrees
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.