Question

2. An airplane is heading due north at an airspeed of 950 km/h, but there is a constant wind blowing from the northeast at 100 km/h. We will use vectors to work out how far off course the plane is blown, and what its ground speed is. (a) Write down a vector, p, that represents the intended flight path of the plane in one hou. (b) Write down a vector, w, that represents the movement of a particle caught in the wind for an hour Hint: Draw the vector, then use right-angled triangle methods to find its horizontal and vertical components (c) Find the actual path of the plane, p+ w. Draw a diagram to represent the situation. (d) Using vector methods, find how far off course the plane has flown by finding the angle between p and (e) Find how far the plane is from its starting point after an hour by finding the magnitude of p +w What is the planes speed relative to the ground?

Answer 1

Vetor intended ght path lind is lowing trom North Cas+ So vecn i is s in op pesite dtrection fo orth cas and 95o km Cmovement ot a parhde for an hour ooI10e where repverent North dire chon and↑ fe.p resents East direction (950 -100)3 2 sign le behween a n o 8 950-J -100 950J2-bo

50 -oO 10 0 (950)2tQoof- +(100) 450。012 2 2 2. 2. So, Plane has gone km 1사1th 88 2 . 12ㄱQ45 4-5 q ㄱ771ㄱ120 hou Plae travelled2 12 945 kin Speed s&2.1279チ5km ) hbur Plane's =