Question

To check the correctness of the relation
$v = a {t}^{2} + \sqrt{2gh}$
Where,
v=speed, a=acceleration
h=height
​

Answer 1

Explanation:

We compare the dimensions of the quantities on both sides of the equation, and we can say if a equation is wrong or correct. Even though, A equation which may be dimensionally correct may not be a valid equation.

Formula 1 : v=2gh

Velocity

g = Acceleration due to gravity =

h

Now,

Since, Dimensional equations of LHS and RHS aren't equal, The formula v = 2gh isn't correct.

For

mula 2 : v = ut/2 + at

LHS = v

RHS = ut/2 + at =

Both, LHS and RHS don't match. Hence, We can conclude that, v = ut/2 + at isn't correct

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