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An object falls from rest. Its position at time t is given by s(t) = 1/2...

An object falls from rest. Its position at time t is given by s(t) = 1/2 gt^2. We consider that
it falls for T seconds.
(a) Write its velocity v as a function of time t and then write the velocity as a function
of the position s.
(b) Notice that v(T) denotes the nal velocity of the object. Write the average velocity
v over the object during its fall, rst averaging over time t, and then averaging over
position s. Write your answers in the form v = kv(T) for some values of k.
(c) Are both values of k obtained in (b) the same ?
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Math   Calculus   
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