At the bottom of a loop in the vertical (r, θ) plane at an altitude of 575 m, the airplane p has a horizontal velocity of 665 km/h and no horizontal acceleration. the radius of curvature of the loop is 1210 m. for the radar tracking at o, determine the recorded values of r¨ and θ¨ for this instant.

Since you have not included the experiment situation and the data, of course, i can not give you specific details about it. but i can you with this question.1) i will assume that the motion is projectile (parabolic) motion.2) yes, the horizontal distance depends on the horizontal velocity as, naming vx the horizontal velocity and t the time, it is: x = vx × t3) now, observe that the flight time depends on the vertical velocity as, naming voy the initial vertical velocity, t the time and y the vertical distance before reaching the ground: y = yo + voy×t - gt² / 2.the higher the initial vertical velocity (voy) the longer the object will be flying and so t will be higher in the equation for the horizontal distance.that explains the relationship between the horizontal distance and the horizontal velocity.

D. the index of refraction of the second medium is lower.