• Post a New Question
• Current Questions
• Chat With Live Tutors

Homework Help: calculus

Posted by amy on Monday, November 19, 2012 at 4:50pm.

a rocket is launched vertically and travels at 100 meters per second. a tracking radar is 500 meters from the launch site. when the rocket is 800 meters high, how fast must the radar antenna tilt( in radians) in order to track the rocket?

• calculus - Reiny, Monday, November 19, 2012 at 5:13pm

  Make a diagram showing the height h, the horizontal distance 500 m and the the angle Ø.
  
  tanØ = h/500
  h = 500 tanØ
  dh/dt = 500 sec^2 Ø dØ/dt
  
  when h = 800
  the hypotenuse = 100√89
  and sec^2 Ø = 89/25
  
  100 = 500(89/25) dØ/dt
  dØ/dt = 25(100)/(500(89)) = 5/89 or appr .0562 radians/sec
  

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Algbrah - A launched rocket has an altitude in meters, given by the polynomial h...
math 117 - A launched rocket has an altitude in meters, given by the polynomial ...
math 117 - A launched rocket has an altitude in meters, given by the polynomial ...
math 116 - A launched rocket has an altitude in meters, given by the polynomial ...
math 117 - A launched rocket has an altitude in meters, given by the polynomial ...
math-algebra - A launched rocket has an altitude, in meters, given by the ...
Algebra~Scary problem! - A launched rocket has an altitude, in meters, given by ...
algebra - A launched rocket has an altitude, in meters,give n by the polynomial ...
related rates - After blast-off, a space shuttle climbs vertically and a radar-...
physics - A bicyclist moving at a constant speed takes 10.0 seconds to travel ...

For Further Reading