2. A cart travels continuously around a circular track with a constant acceleration. The track has a length of 10km.
At a specific time, t = 0, its position is measured.
It takes half an hour for the cart to complete one full lap of the track.
It takes two hours (from time t = 0) for the cart to complete ten full laps of the track.
The following formula describes this situation
at2
s=uot+
2
where
s is the displacement, measured in km
• u, is the velocity of the cart when t = 0, measured in kmh-2
t is the time taken, measured in hours
a is the acceleration of the cart, measured in kmh-2
a) Use the information about the position of the cart after half an hour to
write a formula linking u, and a.
.
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E
01:57
17/05/2021

ye

step-by-step explanation:

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.

2

step-by-step explanation: