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question 15 Speed of airplane flying overhead of radar station An airplane is flying at an...

question 15
Speed of airplane flying overhead of radar station
An airplane is flying at an altitude of 6 miles and passes directly over a radar antenna.
When the plane is 10 miles away (straight line distance from radar station s=10), the radar detects that the distance s is changing at a rate of 320 mph. What is the actual speed of the plane?
Question 16
1.   
A ship is 1200 m from shore and is using a searchlight to scan the shoreline.
The search light is being rotated at a constant angular speed of
d(th)/dt = 0.25 rad/sec.

Find the rate at which the light is moving along the shore at the time when the light is 500 m down the shore from the straight line distance to the boat.

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