when evaluating a velocity time graph, how can you tell if an object is stopped?
a. when the line of the graph is at 0. b. when the line of the graph is above the x-axis.
c. when the line of the graph is below the x-axis. d. none of the above.

answer for #1 is c

answer for #2 is d

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we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4