Related rates,...again

posted by .

I also have another question (I'm not doing too good one these realted rates).
A camera, located 2 km from the launch pad, is tracking the rocket that is fired straight up. When the height of the rocket is 20 km, the camera is rotating at the rate of 1/200 radians per second. What is the speed of the rocket at that instant? Give your answer in km/sec.
This is the same sort of thing right? The only thing that is stopping me is the whole radians per second. Would that mean that we would have to get trig into here somewheres. I mean I know its a triangle drawing so it would be possible, but radians really mess me up.

Here you know the angle, and you are given dTheta/dt. You are looking for dh/dt

You know TanTheta=h/2, and you know dtheta/dt when h=2-

start with TanTheta=h/2
take the derivative with respect to time. It will come out rather simply.

sec^2theta * dTheta/dt = 1/2 dh/dt

You know sec from the triangle. (Pyth theorem)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Related rates

    Hey, I have a question on related rates and I'm a little rusty at them. I have an idea how to do this one but at a certian point i get stuck. The question is: Two cars leave the intersection, the first travelling south at 40 km/hr …
  2. More related rates.

    Heyy, its me again. So last night I asked a related rate question, and I think I still don't get it. I tried it a few differnt ways and I think I'm just missing something...I don't think a speed of a rocket can be 0.018km/hr:S. So …
  3. Math (Related Rates)

    I was working on some questions for homework and for some reason cannot understand how to approach this question A camera, located 5 km from the launch pad, is tracking the rocket that is fired straight up. When the height of the rocket …
  4. Math (related rates)

    My question is similar to Avik's but with different values. A camera, located 4 km from the launch pad, is tracking the rocket that is fired straight up. When the height of the rocket is 13 km, the camera is rotating at the rate of …
  5. Help! Urgent!

    You know tangentTheta=h/4 take the derivative sec^2 Theta * dTheta/dt= 1/4 dh/dt you know dtheta/dt solving for dh/dt You know sec Theta from the right triangle: sec theta = sqrt(h^2 +16) /h check me. Georgina: in the future, please …
  6. Grade 11 math

    A rocket carrying a weather satellite is launched. As it moves through space, the rocket is tracked by two tracking stations located 24 km. apart, beneath the rocket. The 2 tracking stations both lie west of the launching pad. at a …
  7. trig pls.. help me

    A rocket carrying a weather satellite is launched. As it moves through space, the rocket is tracked by two tracking stations located 24 km. apart, beneath the rocket. The 2 tracking stations both lie west of the launching pad. at a …
  8. physics

    I am having so much trouble with this D: A rocket is traveling straight up from its launch pad. An observer 5.00 km from the launch pad notices that at one instant, she must tilt her telescope 45.0 degrees upward to see the rocket. …
  9. Calculus

    A recording camera is located 2500 feet from the launch pad for recording a rocket launch. As the rocket lifts off, the angle of elevation of the camera increases 4 degrees per second while recording the launch. Find the instantaneous …
  10. Physics

    The Spent Rocket Parts: During launches, rockets often discard parts. A certain rocket starts from rest on the launch pad and accelerates upward at a steady 3.3 m/s2. When it is 235 m above the launch pad, the rocket discards a used …

More Similar Questions