Question

a particle is moving with uniform velocity. what is its acceletration?

Answer 1

Answer:

Acceleration will be 0.

Explanation:

If a particle is moving with uniform velocity, it'll have 0 acceleration. Now, you'll be thinking how it is so. So, let's prove it once.

Suppose a particle is moving with uniform velocity for a given time t. Also, as the particle is moving with uniform velocity, so it's final and initial velocity be same. So, let the final velocity be v and so the initial velocity will also be v.

Now, as we know that acceleration is the rate of change in velocity and mathematically,

$\dashrightarrow \quad \rm { a = \dfrac{v - u}{t} }$

According to our assumption,

• Initial velocity (u) = v
• Final velocity (v) = v
• Time taken (t) = t

$\dashrightarrow \quad \rm { a = \dfrac{v - v}{t} }$

$\dashrightarrow \quad \rm { a = \dfrac{0}{t} }$

$\dashrightarrow \quad \underline{\boxed{ \bf { a = 0 \; m \: s^{-2} }}}$

Therefore, if a particle is moving with uniform velocity, its acceleration is 0.

$\rule{200}2$

Points to remember :

• Acceleration is the rate of change in velocity.
• It is a vector quantity.
• Its SI unit is m/s².
• Negative acceleration is called retardation.
• Retardation is also known as deceleration.

Answer 2

Answer: 0.

Explanation:

Acceleration is defined as the rate of change of velocity of a particle.

Now, in uniform velocity,

∆v = vf - vi = v - v = 0.

And let time be = t.

Therefore, a = (∆v)/t = 0/t or 0.

More:

In case of uniform speed, it is not necessary to be the acceleration zero. As it is a scalar and NOT A VECTOR!