Question

The position of a particle at time 't' is given by the equation : x(t) = 0 equation : 20) = (1-en Dimensions of V, and A respectively are 0​

Answer 1

Answer:

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Answer 2

Explanation:

We’ve been given that the position of a particle is given by x(t)=(v0α)(1−c−at)

and we want to find the dimensional formula of v0

and α

.

Now, we know that according to the rules of dimensional formula, the term in the exponential must be dimensionless. This implies that the term −αt must be dimensionless. So, we can write

[αt]=[α]T1=M0L0T0

Dividing both sides in the above equation by T1, we get

[α]=M0L0T−1

Now, to find the dimensions of v0

, we can use the rule that the two terms that are being equated must have the same dimensional formula. Now we know the dimensional formula of velocity as

[v]=M0L1T−1

Now the term on the