Questions

[mathmajor]

10G-38. Walking along the outer circular edge of a rotating merry-go-round, samantha completes one revolution in 11 sec walking one direction and 21 sec walking the other diretion. What is the rotational speed of the merry-go-round.

10G-47. On October 22, 2007, there were 19,951,900 Facebook users in the U.S. On Jun 18, 2008 the number grew to 26,481,100, and on Jan. 4, 2009 it was 42,089,200. If the growth is exponential, how many days after Jan 4, 2009 will the number of US facebook users reach 100 million.

10G-57. A sperical snowball sublimates such that its rate of volume loss is proportional to its surface area. If its diameter changes from 5 inches to 4 inches in 2 hours, how long would it then take for the snowball to disappear completely

10G-66. The end of a 20-ft long dog leash slides along a taut 100-ft long clothesline. What is the height of the clothesline if the roaming area is 3200 ft^2.

10G-67 A 6 ft long piece of dental floss is pulled tight 1 yard above the ground. It is then relaxed by moving one end .3 in towards the other end. Assuming the sagged floss forms a circular arc, how far above the ground is the midpoint of the floss (I'm not really sure how to draw this.)

10G-68. The velocity of a car inreases with time at v(t)=20t mph, where t is in seconds from the time the car began moving. How long before the car is 300 ft from wher it began

[88bobcat]

[88bobcat]

[88bobcat]

[88bobcat]

[88bobcat]

[mathmajor]

Thanks, how about the merry-go-round one?

[88bobcat]

[mathmajor]

I have another question, A municipal firework is fired, traveling 450 ft into the air. It then free falls to an elevation of 220 ft, at which point it is detonated. if the fuse is 8 in long and burns at a rate of .6 in/s, how long after lighting the fuse should the firework be fired?

[88bobcat]