For the instant represented the particle P has a velocity v = 6 ft/sec in the direction...

For the instant represented the particle P has a velocity v = 6 ft/sec in the direction shown and has acceleration components a_x = 15 ft/sec² and a_θ = 15 ft/sec². Determine a_r, a_y, a_t, a_n and the radius of curvature ρ of the path for this position. (Hint: Draw the related acceleration components of the total acceleration of the particle and take advantage of the simplified geometry for your calculations.)