Question: While attempting to understand the motion of bodies under gravity, Galileo stated that: The time in which any space is traversed by a body starting at rest and uniformly accelerated is equal to the time in which that same space would be traversed by the same body moving at a uniform speed whose value is the mean of the highest velocity and the velocity just before acceleration began.
(a) Write Galileo's statement in symbols, defining all the symbols you use.
(b) Check Galileo's statement for a body dropped off a 100-foot building accelerating from rest under gravity until it hits the ground.
(c) Show why Galileo's statement is true in general.