Answer Happy

Directions: This is the individual portion of the exam. Each student will work on their own for this part of the exam. There are 5 multiple choice questions and 2 homework-type problems. Each of the 5 multiple choice questions is worth 3.2 points and each of the homework-type problems is worth 12 points. This part of the exam is worth 40 points. Please show your work for all the parts of the exam, including the multiple-choice questions. You must turn in the individual part of the exam before moving on the group part of the lab. xf​​=xi​​+v1x​​t+21​ax​​t2,vfx​​=vxx​​+ax​​t,(vfx​)2=(vix​)2+2ax​​Δx,yf​​=y​1​+vcy​t​+21​ay​​t2,vfy​​=vcy​​+ay​​t,(vfy​)2=(viy​)2+2ay​​Δy​,v=(vfx​)2+(vfy​)2​,tanθ=vfx​vfy​​,g=9.8 m/sec2​ Problems 1-2 refer to the following situation. A rocket starts at the ground at rest. The rocket accelerates upward at 30 m/sec2 for 30sec, then runs out of fuel. Problem 1: What is the maximum height of the rocket, above the ground? a. 34826.5 m b. 44826.5 m c. 54826.5 m d. 64826.5 m Problem 2: What is the total time the rocket is in the air, before returning to the ground? a. 127.6sec b. 227.6sec c. 327.6sec d. 427.6sec Problems 3−5 refer to the following situation. A cannon is 3300 m above the ground. The cannon launches a ball at an angle θ=35∘ above the horizontal. The ball hits the ground at a a horizontal distance of 9400 m from where it was launched. Problem 3: What is the initial speed of the ball? a. 105.5 m/sec b. 155.5 m/sec c. 205.5 m/sec d. 255.5 m/sec Problem 4: What is the time it takes the ball to hit the ground? a. 14.9sec b. 24.9sec c. 34.9sec d. 44.9sec Problem 5: What is the speed of the ball just before it hits the ground a. 360.5 m/sec b. 460.5 m/sec c. 560.5 m/sec d. 660.5 m/sec