Suppose a runner completes one lap around a 400-m track in a time of 50 s. calculate the magnitude of the average velocity of the runner. express your answer in meters per second to the nearest integer.

Step-by-step explanation:

It is given that,

Distance covered by the runner, d = 400 m

Time taken to complete one lap, t = 50 s

We need to find the magnitude of the average velocity of the runner. Total displacement divided by total time taken is called the average velocity of the runner. Here, the total displacement is 0 as runner come back to same point.

It is given by :

v = 0

So, the average velocity of the runner is 0. Hence, this is the required solution.

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.

answer: 12

step-by-step explanation: