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 velocity and acceleration of the rocket at time t0.

Question

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 velocity and acceleration of the rocket at time t>0.

Steve · Answer

using ' to denote d/dt, the height h is h = 2500 tanθ h' = 2500 sec^2 θ θ' at t=0, θ'=4*pi/180 h' = 2500 * 4pi/180 = 5.55 ft/s h'' = 2500 sec^2θ (2tanθ θ' + θ'')

BA · Answer

Thanks, but how do you find the instantaneous velocity from that? I know that acceleration is the derivative from the equation of Instantaneous velocity.. but I don't know how to get the equation for it.

BA · Answer

Nevermind, I see what you did. Thank you!