Assignment 2 - Calculus I - Fall 2008 | MATH 120, Assignments of Calculus

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Math (ZO tHaeud-tu Assignment’ #2. assgned Nov,"t, 2008 ove Nov, ti, 200% For 4.95 seconds, a particle moves in a straight line according to the position function fH =e 5-H -5 where ¢ is measured in seconds and / in feet. Answer the following questions. You can visualize this motion and verify many of your answers using a graph. First attempt all the problems by hand, and then graph the position function to verify your answers, |. What is the position of the particle at ¢ = 0,/ = 1, ¢ = 2, # = 4,95? 2. Find the velocity of the particle at time ft. What is the velocity of the particle att = 0,f = 1,14 = 2, ft = 4.95? 3. When is the particle at rest? When is the parlicle moving forward? 4. Find the total distance traveled by the particle on the intervals [0, 1] and [1, 2]. Which is larger and why? 5. Find the acceleration of the particle at time ¢. 6. When was the particle spceding up? Slowing down?