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SSM A radar antenna is tracking a satellite orbiting the earth. At a certain time, the radar screen shows the satellite to be 162 km away. The radar antenna is pointing upward at an angle of 62.3 from the ground. Find the x and y components (in km) of the position vector of the satellite, relative to the antenna.

X-component $=75.3 \mathrm{km}$y-component $=143.3 \mathrm{km}$

Physics 101 Mechanics

Chapter 3

Kinematics in Two Dimensions

Motion in 2d or 3d

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Simon Fraser University

Hope College

Lectures

04:01

2D kinematics is the study…

10:12

A vector is a mathematical…

09:28

At the instant considered,…

03:59

A plane flying at an altit…

00:50

01:44

DISTANCE A plane f…

01:46

A radar station locates a …

02:26

Figure 8.30 shows a satell…

03:57

Figure 29 shows $a$ satell…

07:28

0:00

04:56

Tracking a Satellite The p…

02:58

A rocket-tracking facility…

05:49

The figure shows a satelli…

01:40

02:10

An Earth-observing satelli…

01:11

ANGLE OF ELEVATION …

03:10

A satellite moves on a cir…

02:30

Consider a satellite orbit…

01:59

A scanner antenna is on to…

02:17

Aeronautics An airplane fl…

01:27

A plane is 100 miles from …

this problem. We have a radar antenna which is pointed at an angle from the ground, the angle being 62.3 degrees. And it finds a satellite and records that distance to the satellite as being 162 kilometers away. Now we want to solve for the X and Y components of the position vector of the satellite relatives to the antenna. So our position vector is going to be that factor right there, right? So if we were to draw that, we know that it's at an angle 62.3 degrees from the horizontal and we want to solve for the ex and the Y components. We know that this is one under 62 kilometers. Call this T X, Call this a D Y. So just by using our trick in metric identities, we can easily see that R D X is equal to 1 62 co sign 62.3 and our deal Why this 1 62 sign 62.3. Now, if you plug that into your calculator, you should get D X equal to 75.3 kilometers, Andy. Why equal to one and 43 point for kilometers and those are your final answers

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