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 June 1st, 2009, 12:10 AM #1 Newbie   Joined: Mar 2009 Posts: 20 Thanks: 0 Using the definite integral to find motion Hi, The question I've been asked to do is to find s(4) of an object moving in a straight line, given a(t) = , s(0) = 2, v(0) = 3. Am I supposed to use a(t) to solve the equation? All the examples I've seen is just plugging numbers into the equation . Assuming I don't have to use a(t), my working is , giving -85.4. Is this correct? June 1st, 2009, 02:55 AM #2 Senior Member   Joined: Dec 2008 Posts: 251 Thanks: 0 Re: Using the definite integral to find motion To solve the problem, we must remember that and therefore that In our case, the object has an acceleration function different from that of an object tossed in the air. Integrating twice, we obtain All that remains is to find the values of and and evaluate . June 1st, 2009, 12:50 PM #3 Newbie   Joined: Mar 2009 Posts: 20 Thanks: 0 Re: Using the definite integral to find motion Thanks for the reply. Another question, for numerical integration, for between 2 and 5, I've drawn a table of values for the f(x) of each (with h = 0.5). Some of these values are negative; would I take the absolute values of these? i.e. my table looks like this x | f(x) 2 | 0.90... 2.5 | 0.59... 3 | 0.14.... 3.5 | -0.35... 4 | -0.76.... 4.5 | -0.97.... 5 | -0.95... so should I take the absolute value of f(x) 3.5 to 5? June 1st, 2009, 01:36 PM #4 Senior Member   Joined: Dec 2008 Posts: 251 Thanks: 0 Re: Using the definite integral to find motion In calculating definite integrals, no. Area below the -axis is counted as negative area. Tags definite, find, integral, motion Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post sachinrajsharma Calculus 1 June 18th, 2013 10:38 PM panky Calculus 1 December 10th, 2012 09:36 PM binny Calculus 11 May 28th, 2011 10:12 AM Mandy85 Calculus 1 January 6th, 2009 12:55 PM dbrogioli Real Analysis 0 March 31st, 2008 03:45 AM

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