Derive v2=u²+2as
derive

From 1st equation of motion,

V = U +AT

Therfore, V - U = AT …eq 1

We know that

S = (U + V / 2 )×T

∴ S/T = U + V / 2

∴U + V = 2×S/T

∴ U + V = 2S / T … eq2

So Substituting eq1 and eq2,

(V - U ) (V + U ) = AT ×2S/T

∴V² - U² = 2AS.

in simple terms, the principle states that the buoyancy force on an object is equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational acceleration, g. this is also known as upthrust.

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.