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# Conservation of Energy: The effect of path difference on velocity

APPHMC-VLYEWY

A child has the choice of three differently shaped slopes (I, II, and III) that connect point $A$ to point $B$ and can be used to slide on. The child starts at rest and very gently starts to slide down. The child will be propelled down the slope due to gravity. The child-sled system's mass does not change.

Which slope, in the absence of friction, will result in the highest speed at point $B$?

A

I only.

B

II only.

C

III only.

D

I and II only.

E

I, II, and III.