Question

The velocity of an object is given by $v=at+\frac{b}{t+c}$, what is the dimension of $c$?

Answer 1

1. Using the principle of dimensional homogeneity, we know that two quantities can only be added if their dimensions are same.
2. Here, $c$ is being added to $t$, which represents time.
3. So, the dimension of $c$ is same as the dimension of $t$, which is $\left[T\right]$.