A man travelling in a bus moves from west to east with a speed of 40 km/hr. He observes that the raindrops are falling vertically down. To another man standing on the ground, the rain will appear

to be falling at an angle going from west to east

to be falling at an angle going from east to west

insufficient information is given to determine the direction of the rain

What is the Dimensional Formula of Velocity and its Derivation?

The dimensional formula of Velocity is given by,

M⁰L¹T^-1

Where,

Velocity (V) = Displacement × Time^-1. . . . (1)

The dimensional formula of Displacement and Timeis [M⁰ L¹ T⁰] and [M⁰ L⁰ T¹] respectively . . . . (2)

On substituting equation (2) in equation (1) we get,

Velocity = Displacement × Time^-1

Or, V = [M⁰ L¹ T^-1]

Therefore, velocity is dimensionally represented as [M⁰ L¹ T^-1].

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