A car having an initial velocity of 12 meters per second east slows uniformly to
2 meters per second east in 4.0 seconds.
The acceleration of the car during this
4.0-second interval is
A. 2.5 m/s2 west
B. 2.5 m/s2 east
C. 6.0 m/s2 west
D. 6.0 m/s2 east

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

a

step-by-step explanation:

the answer for your question is

step-by-step explanation: