MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics

8.01

Reading Questions for Week 1 Day 3 Write your name and section on the upper right hand corner of your paper and hand it in at the start of class that day in the appropriate box on the first table by the door as you enter 26-152. Sept 6 W01D3 Kinematics and One Dimension Motion (Emphasis on Differentiation and Integration) Reading Assignment: Dourmashkin, Classical Mechanics MIT 8.01 Course Notes, Chapter 2 Units, Dimensional Analysis, Problem Solving, and Estimation, Section 2.5 Chapter 4 One Dimensional Kinematics, Sections 4.1-4.6 Reading Question One (5 points): Consider a moving object. Suppose you know that the position x(t) of the object as a function of time t is given by x(t) = b0 + b3t 3 . (a) Find the x -component of the velocity vx (t) and the x -component of the acceleration ax (t) of the object as a function of time t . Reading Question Two (5 points): Suppose you know the position and x -component of velocity of an object at time t0 and you are given the x -component of the acceleration ax (t) = a0 + a1t , which is a non-constant function of time t where a0 and a1 are non-zero constant. (i) Describe a procedure for finding the x -component of velocity vx (t) as a function of time t . (ii) Describe a procedure for finding the position x(t) as a function of time t . In both cases, write down any mathematical expression that you may need, and if you introduce notation explain the meaning of each term. (iii) What are you answers for the special case that ax is a non-zero constant?