Question

(a) Establish the relation : v= ut at.
(b) v2 - u? = 2 as (c) s = ut + 1/2 at2?​

Answer 1

Answer:

a. Acceleration = Final velocity - initial velocity

time

a = v - u

t

at = v - u

at + u = v

v = u + at

b. let the body start with the initial velocity u.After covering distance 's'

under uniform acceleration 'a' , it's velocity becomes 'v' in 't' seconds.

Then,

Average velocity = u + v

2

So the distance covered in t is

s = Average velocity × Time

= u + v × t

2

v + u = 2s/1 ......(1)

Now, using first equation

v = u + at ......(2)

Multiplying equation (1) and (2) we get result as

(v + u) ( v - u ) = 2s/1 × at

v^2 - u^2 = 2as