Question

Derive;
s=ut+1/2 at^2
genuine ans .you are gonna be reported if wrong

Answer 1

Answer:

s = ut + 1/2 at^2 is the Newton's second equation of motion.

Average Velocity = initi

$\frac{inital \: velocity \: + \: final \: velocity}{2}$

$v= \frac{u + v}{2}$

$s = \frac{(u + v) \times t}{2}$

$or \: s = \frac{(u + u + at \times) \times t}{2}$

$or \: s = \frac{(2u + at \times t)}{2}$

$or \: s = \frac{2ut + at^{2} }{2}$

$then \: s = ut+\frac{1}{2}t ^{2}$