Dimensional formula of acceleration

Acceleration

[L T⁻²]

Written in full: [M⁰ L¹ T⁻² A⁰ K⁰]

How to derive it

Acceleration = Change in velocity ÷ Time

Put in the dimensions of each part: [LT⁻¹] ÷ [T] = [L T⁻²].

mass (M): 0
length (L): 1
time (T): -2
current (A): 0
temperature (K): 0

SI unit

The SI unit of acceleration is m/s².

Same dimensions as acceleration

These quantities have exactly the same dimensions, a favourite trick in JEE and NEET "which pair has the same dimensions" questions:

Gravitational field intensity

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More from Motion

Quantity	Formula
Velocity	[L T⁻¹]