A skier on top of a hill has 2,500 J of Gravitational Potential Energy (GPE). He hasn't started moving yet. At the bottom of the hill, when the skier has reached his maximum velocity, how much Total Mechanical Energy (TME), Gravitational Potential Energy (GPE) and Kinetic Energy (KE) does he have? A. TME=2,500 J, GPE=0 J, KE=2,500 J
B. TME=0 J, GPE=0 J, KE=2,500 J
C. TME=2,500 J, GPE=750 J, KE=1,750 J
D. TME=2,500 J, GPE=2,500 J, KE= 0 J

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

i understand 100% 10/10 hit or miss?

step-by-step explanation:

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