Homework 1 Due Date: May 31 Before the start of lecture Chapter 1 At the end of this chapter you should be able to: • Convert measurements between different units. • Know the prefixes of the metric...

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Homework 1 Due Date: May 31 Before the start of lecture Chapter 1 At the end of this chapter you should be able to: • Convert measurements between different units. • Know the prefixes of the metric system (ex: 1ml = 10−3l). • Sum vectors, and solve first order equations with vectors. Problem 1: Conversion A football field is 100yards long by 50yards wide. What is the length and width of a football field in m? What is the area of the football field in m2? Info: 1 yard = 3 feet , 1 m = 3.281 ft. Problem 2: Vectors Find the magnitude of ~C and θ such that ~A+ ~B + ~C = 0. Where | ~A| = 10 , and | ~B| = 15. 1 Chapter 2 At the end of this chapter you should be able to: • Describe linear motion at constant velocity and constant acceleration. • Understanding the equations of motion for constant velocity and constant acceleration, apply it to simple problems. • Apply the items above for describing free-falling objects. Problem 3: Constant Velocity A car ride 3 hours from Albany to Boston. It travels at a speed of 40 km/h in the first half-hour, then it changes the speed to 85 km/h for two hours, then reduces to 60km/h for the last half-hour. Find its average velocity for the whole trip. Problem 4: Constant Acceleration A Boeing 747 “Jumbo Jet” start landing at a speed of 80.0m/s. The plane decelerates at a rate 5.00m/s2. What distance will the plane travel as it stops? Problem 5: Free Fall A ball is thrown upward with velocity 25 m/s at the top of a building with heigh 10 m. Find a) the time it takes to reach the maximum height, b) maximum height from the ground, c) the velocity at which the ball hits the ground, and d) the total flight time. 2 Chapter 3 At the end of this chapter you should be able to: • Understand the role of vectors in describing motion in more than one dimension. • Describe motion in 2 dimensions at constant vector velocity and constant vector acceleration. • Decompose 2D motion equations into equations of motion for each dimension (x and y) and apply to simple problems. • Apply the items above for describing free-falling objects. (Ballistic Movement) Problem 6: Constant Velocity A bird watcher meanders through the woods, walking 0.5km due east and 0.75km due south. The time required for this trip is 2.5h. Find a) the displacement vector ∆~r, b) average velocity ~V . Problem 7: Projectile Motion A baseball player hits a home run, Immediately after the hit, the ball travels at an angle θ = 30o above the horizon with velocity 50 m/s. What is the maximum height for the ball? What is the flight time? 3