Question

a plane, initially traveling 150 mi/hr 100 east of north, suddenly enters a region where the wind is blowing at 50 mi/hr from the southwest. What is the plane's resultant direction?

Answer 1

Answer:

Velocity of plane is 100 mi/hr along northeast direction

Step-by-step explanation:

From the question it is given that Initial velocity of plane is 150 mi/hr along east north direction and wind is blowing at 50 mi/hr along southwest direction

since the velocity of wind and plane is exactly opposite

⇒ relative velocity of plane with respect to wind is given by

$v_r_e_l = v_p - v_w$ where $v_p$ is the velocity of plane = 150mi/hr and $v_w$ = velocity of wind = 50 mi/hr

Therefore, $v_r_e_l = v_p - v_w$  = $v_r_e_l = 150 - 50 = 100 mi/hr$ alond northwest direction

Therefore, velocity of plane is 100 mi/hr along northeast direction