3) What direction must the pilot head his plane in order to travel due east rela

Question

3) What direction must the pilot head his plane in order to travel due east relative to the ground? Give the angle in degrees measured north of east. angle = info---- 60 m/s relative to air--- wind 20 m/s from south. pilot heads it east AND....

A ball is thrown into the air from ground level. After a timet = 2.0 s, the ball has traveled to a positionx1= 27.0 mto the right of andy1= 11.0 mup fromwhere it was thrown (at this time, the x and y components of the ball's velocity are still positive). The axes show the x and y directions to be considered positive.

v0x=

v0y=

v0=

q0=

h=

Explanation / Answer

Draw a line 20 mm long vertically from the top of the line, draw a circle 60mm radius draw a line from the bottom of the 20mm line to the left to intersect the circle connect the point of intersection to the top of the vertical line. This is your wind triangle measure the angle 18.428 degrees north of east measure the length of the base of the triangle 56.568m/s Multiply by 3600 and divide by 1000 to get km/h = 203.647km/h Mathematically Opposite side of your triangle is the wind speed hypotenuse of your triangle is plane speed the angle is arcsin (20/60)18.428 =18.428 degrees north of east the easterly speed is square root of (60^2-20^2) = 56.568m/s = 203.647km/h

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