Question

check the correctness of equation X =v0t +1/2at2 where symbols have usual meaning

Answer 1

X = distance
v = velocity
a = acceleration
t = time

Answer 2

The equation is dimensionally correct v0t +1/2at2 where symbols have usual meaning

Given:

An equation v0t +1/2at2  where a is acceleration

To Find:

Whether the symbols in this equation are correct or not

Solution:

We have ,

S = ut+$\frac{1}{2} at^2$

Checking the dimensions on both sides,

On Left hand side,

We have ,

= $M^{0} L^1T^0$

On Right hand side equation,

We have,

= $LT^-1 [T] + LT^-2[T^2]$

= $[M^0L^1T^0] + [M^0L^1T^0]$

= $[M^0L^1T^0]$

Comparing the L.H.S. and R.H.S.

Hence the formula is dimensionally correct.

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