SUVAT equations - Revision history

DavidB4: new link

2020-09-08T21:24:11Z

new link

FredericBernard: Added derivation of the SUVAT equations and an example

2017-04-10T13:40:48Z

Added derivation of the SUVAT equations and an example

FredericBernard: Changed category to mechanics

2017-04-06T13:48:48Z

Changed category to mechanics

MaryH: Link fix.

2010-06-13T17:47:56Z

Link fix.

MaryH: Added definitions of terms.

2010-06-13T17:47:18Z

Added definitions of terms.

MaryH: Created page.

2010-06-13T17:45:47Z

Created page.

New page

The '''SUVAT equations''' are equations of motion which apply to uniformly accelerated linear motion.

*<math>v = u + at</math>
*<math>s =1/2 (u+v)t</math>
*<math>s= ut + 1/2 at^2</math>
*<math>s= vt - 1/2 at^2</math>
*<math>v^2= u^2 + 2as</math>
[[Category:Physics]]

@@ Line 20: / Line 20: @@
 ===First Equation===
-The [[acceleration]] of a body is the rate of change (the [[derivative]]) of its speed. Therefore, the we can integrate the acceleration to find the speed at some time as:
+The [[acceleration]] of a body is the rate of change (the [[Derivative_(calculus)|derivative]]) of its speed. Therefore, the we can integrate the acceleration to find the speed at some time as:
 <math>

@@ Line 1: / Line 1: @@
-The '''SUVAT equations''' are equations of motion which apply to uniformly accelerated linear motion, where <math>v</math> is [[velocity]], <math>u</math> is initial velocity, <math>s</math> is [[speed]] and <math>a</math> is [[acceleration|constant acceleration]].
+The '''SUVAT equations''' are five equations that describe the motion of a body with constant linear [[acceleration]]. The five equations are:
 *<math>v = u + at</math>
-*<math>s =1/2 (u+v)t</math>
+*<math>s= s_0 + ut + \frac{1}{2} at^2</math>
-*<math>s= ut + 1/2 at^2</math>
+*<math>s= s_0 + vt - \frac{1}{2} at^2</math>
-*<math>s= vt - 1/2 at^2</math>
+*<math>s = s_0 + \frac{1}{2} (u+v)t</math>
-*<math>v^2= u^2 + 2as</math>
+*<math>v^2= u^2 + 2a(s-s_0)</math>
 [[Category:Mechanics]]

← Older revision		Revision as of 17:47, June 13, 2010
Line 1:		Line 1:
−	The '''SUVAT equations''' are equations of motion which apply to uniformly accelerated linear motion, where <math>v</math> is [[velocity]], <math>u</math> is initial velocity, <math>s</math> is [[speed]] and <math>a</math> is [[constant acceleration]].	+	The '''SUVAT equations''' are equations of motion which apply to uniformly accelerated linear motion, where <math>v</math> is [[velocity]], <math>u</math> is initial velocity, <math>s</math> is [[speed]] and <math>a</math> is [[acceleration\|constant acceleration]].

	*<math>v = u + at</math>		*<math>v = u + at</math>

← Older revision		Revision as of 17:47, June 13, 2010
Line 1:		Line 1:
−	The '''SUVAT equations''' are equations of motion which apply to uniformly accelerated linear motion.	+	The '''SUVAT equations''' are equations of motion which apply to uniformly accelerated linear motion, where <math>v</math> is [[velocity]], <math>u</math> is initial velocity, <math>s</math> is [[speed]] and <math>a</math> is [[constant acceleration]].

	*<math>v = u + at</math>		*<math>v = u + at</math>