The figure below depicts a rotating camera recording a rocket launch. Assume tha

Question

The figure below depicts a rotating camera recording a rocket launch. Assume that the camera is positioned at ground level. The distance x is 1100 feet and it is constant.

(2 pts.) Write a one sentence description of what x measures.

(6 pts.) Create two more variables that are relevant to this situation. For each of your new variables, write a one sentence description of what the variable measures. Then use your variables to label features of the figure above. Click here for labeling guidelines.

Explanation / Answer

Let at time t height of rocket = y Angle made by camera from horizontal = A tan A = y/x differentiating this with time. sec^2A*dA/dt = (dy/dt)/x Now at this given instant y=900 feet, dA/dt = 0.6rad/s, dy/dt is what we have to find. sec^2A = 1 + tan^2A = 1 + y^2/x^2 = 1.67. So, dy/dt = x*sec^2A*dA/dt =1101.82 feet/s.

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