Stats: 3,191,864 members, 7,945,759 topics. Date: Wednesday, 11 September 2024 at 05:53 AM |
Nairaland Forum / Nairaland / General / Education / Derivation Of Equations Of Motion (557 Views)
All The Methods For Solving Simultaneous Equations (system Of Equations) / Pls, Mathematicians, Kindly Help Me Solve This System Of Equations. / 17 Mathematical Equations That Changed The World (pic) (2) (3) (4)
(1) (Reply)
Derivation Of Equations Of Motion by LordSwift08(m): 2:43am On Dec 17, 2016 |
We now wish to derive the equations of Motion for a body travelling along a straight line with uniform acceleration. First equation of Motion : we can remember that acceleration =change in velocity /time Now using, u- initial velocity v- final velocity t- time taken a- acceleration Since change in velocity means final velocity - initial velocity, we now have acceleration =final velocity - initial velocity /time substituting a=v-u/t or v=u+at. Second Equation of Motion. Let (s) be the distance covered in a time (t) with the initial and final velocities given by u and v respectively. Average velocity = u+v/2. but we now know that v=u+at, hence average velocity = u+(u+at)/2=(2u+at)/2 = u +at/2. Distance covered (s) =average velocity ×time s= (u+at/2)t = ut+at²/2. Third Equation of Motion. We can obtain the third equation of Motion with use of the first and second equation of Motion. From the first equation we have: v=u+at. From the second we have s=ut+at²/2. if we square both sides of the first equation, we have v²=(u+at)²=u²+2uat+a²t² v²= u²+2a[ut+at²/2] but s= ut+at²/2,hence we have v²=u²+2as. The three equations of Motion with uniform acceleration are: v=u+at s=ut+at²/2 v²=u²+2as where u=initial velocity v=final velocity t=time s=distance a=uniform acceleration. You can click the link below to join my WhatsApp group(open the link with whatsapp) https:///JObNBKYQVs9EJ8G2kX1POz, remember to visit www.scienceteachinglair..com. 1 Like |
Re: Derivation Of Equations Of Motion by FisifunKododada: 3:17am On Dec 17, 2016 |
![]() ![]() ![]() ![]() |
(1) (Reply)
Addressed To The FG Nigeria On Federal Polytechnic Ede, Osun State. / My Destiny / Who Agrees With This Guy?
(Go Up)
Sections: politics (1) business autos (1) jobs (1) career education (1) romance computers phones travel sports fashion health religion celebs tv-movies music-radio literature webmasters programming techmarket Links: (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) Nairaland - Copyright © 2005 - 2024 Oluwaseun Osewa. All rights reserved. See How To Advertise. 15 |