Ch 01 HWTracking a Plane Tracking a Plane Part A A radar station, located at the

Question

Ch 01 HWTracking a Plane Tracking a Plane Part A A radar station, located at the origin of xz plane, as shown in the figure (Figure 1), detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is RA. The position vector RA has a magnitude of 360 m and is located at exactly 40 degrees above the horizon. The airplane is tracked for another 123 degrees in the vertical east-west plane for 5.0 s, until it has passed directly over the station and reached, point B. The position of point B relative to the origin is RB (the magnitude of RB is 880 m). The contact points are shown in the diagram, where the x axis represents the ground and the positive z direction is upward. Defi Exp Su Figure 1 #ofl In 1230 4. 140 rt east

Explanation / Answer

Angle between vector B and X-axis = 180 - (123+40) = 17 deg.

Now, write i for the x-component and k for the z - component.

So, vector A = (360*cos40)i + (360*sin40)k = 275.8i + 231.4k

like-wise:

vector B = (-880*cos17)i + (880*sin17)k = -841.5i + 257.3k

So, Vector R(BA) = Vector B - Vector A = -841.5i + 257.3k - 275.8i - 231.4k = - 1117.3i + 25.9k

So, your answer in two significant figures are (-1100, 26).

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