Question

write the dimensions of the
dimensions of the following quantities :
Acceleration

​

Answer 1

Dimensions of Acceleration:

[M⁰L¹T⁻²]

Additional Information:

Dimensional Formula-

Dimensional formula of a quantity is its unit, expressed in terms of dimensions i.e. mass M, length L and time T.

Acceleration-

The rate of change of velocity is called acceleration.

It is a vector quantity.

It is represented by a.

It's S.I. unit is m/s².

$\pink{\boxed{\bf{a=\frac{\triangle v}{\triangle t}}}}$

If velocity of body is decreasing, then the acceleration is called retardation and deacceleration.

Instantaneous Acceleration-

It is the acceleration for a given point of time.

For instantaneous acceleration, Δt ⟼ 0

It is given by,

$\blue{\boxed{\bf{a=\displaystyle \lim_{\triangle t\longrightarrow0}\frac{\triangle v}{\triangle t}=\dfrac{dv}{dt}}}}$

Equations of 1-D Motion for constant acceleration

$\purple{\boxed{\bf{v=u+at}}}$

$\orange{\boxed{\bf{s=ut+\dfrac{1}{2}at^{2}}}}$

$\red{\boxed{\bf{v^{2}-u^{2}=2as}}}$

where,

v is final velocity  of body

u is initial velocity  of body

a is acceleration  of body

s is displacement of body