A radar system is used to track a new experimental space launch vehicle. Early in the vehicle’s flight trajectory, the azimuth angle β is increasing with the constant rate dβ/dt = 20°/s. The elevation angle γ is increasing at the rate dγ/dt = 40°/s, and this rate is increasing at 5°/s2 . Knowing that the distance between O and P is 2 m and that at this instant β = 0° and γ = 30°, determine (a) the angular velocity of the radar system, (b) the angular acceleration of the system, and (c) the velocity and acceleration of point P.

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.