English

Equations of Motion by Graphical Method

Advertisements

Topics

Equations of Motion Using Graphical Method:

To derive the equations of motion graphically, we use a velocity-time graph.

1. First equation (v = u + at):

The slope of the velocity-time graph represents acceleration (a). The change in velocity (v−u) is equal to the acceleration multiplied by time (a×t); hence, v=u+at.

2. Second equation (s =`ut+"1"/"2"at^2`):

The area under the velocity-time graph gives the displacement (s). The displacement is the sum of the area of the rectangle (ut) and the area of the triangle  (`"1"/"2"at^2`), giving the formula s=`ut+"1"/"2"at^2`.

3. Third equation (v² = u² + 2as):

From the first equation, v=u+at, solve for t and substitute into the displacement equation s=`ut+"1"/"2"at^2`. This gives the relation v2=u2+2as

If you would like to contribute notes or other learning material, please submit them using the button below.

Shaalaa.com | Motion part 12 (Equation of motion)

Shaalaa.com


Next video


Shaalaa.com


Motion part 12 (Equation of motion) [00:12:32]
S
Advertisements
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×