Problem

Distance rolled due to gravity: The distance a ball rolls down an inclined plane is given...

Distance rolled due to gravity: The distance a ball rolls down an inclined plane is given by the function d(t) = 2t2, where d(t) represents the distance in feet after t sec. (a) Describe the transformation applied to obtain the graph of d from the graph of y = t2, then sketch the graph of d for t ∈ [0, 34. (b) How far has the ball rolled after 2.5 sec?

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