I don't know how to solve it. Can you explain why?
A vehicle is traveling in a straight line at speed Vo. A random direction is selected, subtending an angle θ from the direction of travel, which is uniformly distributed over the interval [0, π/7], as shown in the figure below. Then the effective speed of the vehicle in the random direction is X = Vo * cos(θ). Determine the pdf of X.
Answer: fX(x) = u(x + Vo) - u(x - Vo): Tv(x) - x^2