Question

SECTION
D
Qis. Derive the second equation of motion numerically,
enuntion of motion numerically​

Answer 1

Answer:

Derivation of Second Equation of Motion

The second equation of motion is:

S = ut + ½ a2

Derivation of Second Equation of Motion by Algebraic Method

Consider the same notations for the derivation of the second equation of motion by simple algebraic method.

Derivation Of Second Equation Of Motion

Derivation of Second Equation of Motion by Graphical Method

Taking the same diagram used in first law derivation:

Derivation Of Equation Of Motion

1st image

In this diagram, the distance travelled (S) = Area of figure OABC = Area of rectangle OADC + Area of triangle ABD.

Now, the area of the rectangle OADC = OA × OC = ut

And, Area of triangle ABD = (1/2) × Area of rectangle AEBD = (1/2) at2 (Since, AD = t and BD = at)

Thus, the total distance covered will be:

2nd image

S = ut + (1/2) at2

Derivation of Second Equation of Motion by Calculus Method

It is known that v = dS/dt.‘

3rd Image