Aroller coaster reaches its maximum kinetic energy when it. a) reaches the bottom of a hill. b) begins rolling down a hill. c) is sitting at the top of a hill. d) is starting up a hill.

A roller coaster reaches its maximum kinetic energy when it : A. reaches the bottom of the hill

It will reach its maximum kinetic energy at the point where it reach maximum speed. Due to the help of Gravity, it reach maximum speed when it reach the bottom of a hill (the speed will be reduced when the Roller Coaster is going up)

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What are the choices?

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.