An aircraft has a cruising speed of 100 m/s . On this particular day, a wind is blowing towards the east 75.0 m/s

Question

a. If plane pointed due north, what would be the magnitude and direction of the velocity relative to the ground? Show all your work.

b. if the pilot wish ed the plane to travel due north, determine the direction the plane should initially be pointed. Show all your work.

c. If the plane travelled due north as shown in part b, what speed would it travel north at? Show all your work.

d. If the pilot wishes to have a resultant direction of due north, what will be the planes displacement in 1.25 h? Show all your work

Answer 1

a. If plane pointed due north, what would be the magnitude and direction of the velocity relative to the ground? Show all your work.

Resultant speed ²= Speed² N + Speed ² E

= (100)² + (75)²

^{= 10000 + 5625 = 15625}

^{Resultant speed = 125 m/s ( North- East Direction)}

^{Angle with East}

^{tan Theta = 100/75}

^{theta= 53.12 degree}

^{If you are OK with This much, pl let me know to do next part}