The merry-go-round at the fair rotates 12 times each minute, and children are 15 feet from the center of the wheel when they are in their seats. what is the linear velocity of the children in feet per hour?

360π
720π
21,600π
43,200π

21,600π

Step-by-step explanation:

The children move in a circular path.  The circumference of that circle is:

C = 2πr

C = 2π (15 ft)

C = 30π ft

The children travel 12 circumferences in 1 minute, so their velocity is:

v = d / t

v = (12 × 30π ft) / (1 min)

v = 360π ft/min

Converting to ft/hr:

v = 360π ft/min × (60 min / hr)

v = 21600π ft/hr

for b its (t) and c its (d)

step-by-step explanation:

answer: the common difference is -0.10