CalcuslusCalculusCalculus
posted by Mehak .
A rocket arises from its launching pad with a velocity given. By 0.1 h m/s ,where h m is the height reached by the rocket at that time.the rocket is obserrvved from 2000 m away from the launch pad.at. What rate is the distance of the roocket from observer channging when the rocket is at an altitude of 5000 m?
The answer is suppose to be 464 m/s and please provide the whole procedure .Thanks.

Did you make a diagram?
let the height be h m
let the distance between rocket and observer be d m
then
d^2 = h^2 + 2000^2
2 d dd/dt = 2h dh/dt = 0
dd/dt = (h/d) dh/dt
when h=5000 from first equation
d = 5385.165
dd/dt = (5000/5385.164)(5000(.1)) = 464.238 
Thank you and yea i tried it but i was makin a minor mistake and now i see it .
Respond to this Question
Similar Questions

Physics
A rocket blasts off vertically from rest on the launch pad with an upward acceleration of 2.30 . At 10.0 after blastoff, the engines suddenly fail, which means that the force they produce instantly stops. How high above the launch … 
AP calculus AB
A spy tracks a rocket through a telescope to determine its velocity. The rocket is traveling vertically from a launching pad located 10 km away. At a certain moment, the spy's instruments show that the angle between the telescope and … 
calculus
A rocker arises from its launching pad with a velocity given. By 0.1 h m/s ,where h m is the height reached by the rocket at that time.the rocket is obserrvved from 2000 m away from the launch pad.at. What rate is the distance of the … 
physics
A 7600 rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.25 and feels no appreciable air resistance. When it has reached a height of 560 , its engines suddenly fail so that the only force acting … 
physics
A 7600 rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.25 and feels no appreciable air resistance. When it has reached a height of 560 , its engines suddenly fail so that the only force acting … 
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 … 
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 … 
physic
Q: a model rocket was launched and measurements of its height and horizontal distances from the launched pad were taken as shown in the table horizontal distance from the launch pad/m : 0,1,2,3,4,5,6,7,8,9,10,11. vertical distance … 
Physics
A 7500kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.20m/s2 and feels no appreciable air resistance. When it has reached a height of 595m , its engines suddenly fail so that the only force … 
algebra Please help
.A toy rocket is shot vertically into the air from a launching pad 5 feel above the ground with an initial velocity of 72 feet per second. The height h, in feet, of the rocket above the ground as t seconds after launch is given by …