 My Math Forum Find acceleration ... velocity is t sin 3t ms^-1

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 May 16th, 2017, 08:17 AM #1 Newbie   Joined: May 2017 From: uk Posts: 9 Thanks: 0 Find acceleration ... velocity is t sin 3t ms^-1 Hi new here. stuck on this one: Find the acceleration of a particle at time "t" seconds given that the velocity is t sin 3t ms^-1. May 16th, 2017, 09:14 AM   #2
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Quote:
 Originally Posted by DomB Hi new here. stuck on this one: Find the acceleration of a particle at time "t" seconds given that the velocity is t sin 3t ms^-1.
$\dfrac{d}{dt} \bigg[v = t\sin(3t) \bigg]$

product rule ...

$a = \dfrac{dv}{dt} = t \cdot 3\cos(3t) + \sin(3t) \cdot 1$ May 16th, 2017, 10:45 AM #3 Newbie   Joined: May 2017 From: uk Posts: 9 Thanks: 0 calculus acceleration Thank you for the help; much appreciated. One more question..... A particle starting from rest moves with velocity v ms^-1 where v=3t(t-4) find the range of values of t for which acceleration is positive. 3t-4*t is this the start? Last edited by skipjack; May 17th, 2017 at 07:24 AM. May 16th, 2017, 11:29 AM   #4
Math Team

Joined: Jul 2011
From: Texas

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Quote:
 Originally Posted by DomB Thank you for the help; much appreciated. One more question..... A particle starting from rest moves with velocity v ms^-1 where v=3t(t-4) find the range of values of t for which acceleration is positive. 3t-4*t is this the start?
No ...

$v = 3t(t-4) = 3t^2 - 12t$

$a = 6t - 12 > 0$

solve the inequality for $t$ ...

Last edited by skipjack; May 17th, 2017 at 07:24 AM. May 16th, 2017, 11:39 AM #5 Newbie   Joined: May 2017 From: uk Posts: 9 Thanks: 0 Thank you so much for the help; my calculus is very poor and needs much work. Really appreciate your taking the time to help. Last edited by skipjack; May 17th, 2017 at 07:18 AM. Tags acceleration, find, ms1, sin, velocity 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 tankertert Calculus 2 May 9th, 2012 01:40 PM TheSame Calculus 9 May 25th, 2011 07:06 PM JosephE Algebra 2 February 13th, 2010 09:38 AM imcutenfresa Calculus 2 September 15th, 2009 05:11 PM hemi Calculus 3 June 8th, 2009 11:41 AM

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