Test 11I ('11 State)

[nsguy1350]

Questions on: (btw I really need work on these geom/stated, and if you think I made a critical typo, tell me)
17. How long does it take a spaceship to travel from earth to Alpha Centauri, 1.86 x 10^13 mi away, at Warp factor 3.1? The Warp Factor is the spaceship speed divided by the speed of light, 186,000 mi/s. [Ans: 1.0yr (2SD)]

18. What is the percent error in the statement, "A pint's a pound, the world around", as applied to water? [Ans: -4.14%]

26. Frank and Ed ride a merry-go-round. Frank is on a horse that is 20 ft from the axis of rotation, and the merry-go-round rotates once around every 18 sec. Ed decides to run away from Frank circumferentially in a direction opposite the direction of motion of the ride. If Ed runs at a speed of 12 ft/s as measures by Frank, how long does it take for him to meet up with Frank again? [10.5sec]

27. A regulation tennis net for # play spans 27 ft between posts. It is 3 ft 6 in tall at the posts and sags to 3 ft at the center. Assuming a circular arc, what is the radius of the arc? [183ft]

36. A carton crushes if its impact velocity exceeds 80 mph. If the carton is thrown vertically upward form a 60-ft tall building, and it just crushes when it hits the ground, what was the initial velocity (up is positive)? [67.9mph]

37. Mercury orbits the sun every 88.0 dy, Jupiter every 11.87 yr and Uanus every 84.07 yr. How many trips around the sun does Mercury make between the times of closest approach of Jupiter and Uranus? All orbits are in the same direction. [57.4 (3 SD)]

38. Marin runs a mile in 5 min 30 sec. She and Mary, who runs a mile in 7 min 26 sec, start at the south end of a 1/4 mi circular track. Marin takes off running on the track, and at the same time, Mary takes off in a straight line off the track, meeting up with Matin before she finished one lap. Considering due east to be 0 degrees, at what positive angle does Mary need to run? [I'm thinking get a circle and a line, and set them equal to each other, but how do you do that? Help. :D] [1.30rad]

46. The famous dwarf General Tom Thumb was 2 ft 11 in tall. Andre the Giant was 7 ft 2 in tall. If the dwarf paid $6.55 for material for pants, how much would the giant need to pay? [Scaling principles? Explain please.] [$39.55]

47. An unloaded spring is 3.5 in long. One pound load stretches the spring to 4.25 in. Two ponds load elongates it to 4.6 in. Three to six pounds in 1 lb. increments elongates the spring to 4.85 in, 5.5 in, 6.4 in, and 7.1 in. What is the spring constant, defined as the load divided by the deflection? [Lin Reg, slope, 1 over slope becomes answer?] [1.75lb/in]

57. A 48-in length of string is cut into two pieces. One is used to make a square, and one is used to make an equilateral triangle. What is the length of the piece used to make the equilateral triangle if the sum of the areas is minimized? [Forgot optomization :( ] [27.1in]

66. Casey stands on the roof of a building at 85 ft above ground. He tosses a ball off the roof with and initial velocity of 45mph. At what angle (straight out is 0, straight up is 90) must he toss the ball if it hits the ground in exactly 3.8 sec? [Forgot projectile motion] [36.0 deg]

67. The intensity of light varies as the inverse of the square of the distance from the source. How far from a 75-watt bulb is there adequate light for reading if the distance from a 100-watt bulb is 9.5 ft? Assume that light output is porportional to wattage. [8.23ft]

68. In a dodgeball game, a player throws a ball in an attempt to hit a person 35 ft away. If the ball is thrown at 25 mph and a person's move reflex takes 150 ms to initiate, how much time does the person have to "dodge" the ball? [805ms]

[88bobcat]