HW_2 - P112 Spring 2007 Homework #2 Due: Friday Feb 2, 2007...

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P112 Spring 2007 Homework #2 Due: Friday Feb 2, 2007 – At lecture Reading: 3.1-3.3, 3.5 Not all concepts will be covered in class – you are responsible for all material in the reading and in the homework problems. Warm-up Exercises: (Answer only will be marked) 1. A car moving with constant acceleration covers the distance between two points 70.0 m apart in 7.00 s. Its speed as it passes the second point is 15.0m/s. What is its speed at the first point, and what is its acceleration? 2. The manual of my car states that the stopping distance is 50 m when the brakes are fully applied at 96 km/h. What is the deceleration? What is the stopping time? Mathematics Exercises: 3a. Find the magnitude of vector A =4.00 i + 3.00 j and of vector B =5.00 i -2.00 j . Write an expression for the vector difference A-B using unit vectors. b) What is the magnitude and direction of the vector difference A-B ? Show A, B , and A-B in a vector diagram, and show that your diagram agrees qualitatively with your answers from a). c) Find the scalar product of the vectors A and B . What is the angle between the two vectors? 4a. An object’s velocity is measured to be v x (t) = α - β t 2 , where α =4.00 m/s and β =2.00 m/s 3 . At t=0 the object is at x=0. Calculate the object’s position and acceleration as functions of time. b ) What is the object’s maximum positive displacement from the origin? c) Draw graphs showing the object's position x(t), velocity v x (t), and acceleration a x (t) as functions of time t until the time in (b). Please align your graphs one above another with their time axes synchronized. Estimation:
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HW_2 - P112 Spring 2007 Homework #2 Due: Friday Feb 2, 2007...

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