The velocity `upsilon` of a particle depends upon time t, according to the equation `upsilon = a+ bt +(c )/(d +t)` Write the dimensions of a,b,c, and d.

Explanation

From principle of homogeneity
`[a]=[v]`
`"or "[a]=[LT^(-1)]`
`[bt]=[v]`
`"or "[b]=([v])/([t])=([LT^(-1)])/([T])`
`"or "[b]=([LT^(-1)])/([T])`
`"or "[b]=[LT^(-2)]`
`"Similarly, "[d]=[t]=[T]`
`"Further, "([c])/([d+t])=[T]`
`"or "[c]=[v][d+t]`
`"or "[c]=[LT^(-1)][T]`
`"or "[c]=[L]`