Motion in Straight Line

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• Questions
• Summary

1. The rate of change in velocity with time known as acceleration.
2. It is a vector quantity.
3. Dimension formula of acceleration: [M⁰L¹T^-2]
4. S.I unit of acceleration: ms^-2

Uniform acceleration: A particle is said to have uniform acceleration if magnitude and direction of the acceleration remain constant during particle motion.

Non- uniform acceleration: A particle is said to have non-uniform acceleration, if magnitude or direction or both, change during motion.

Average acceleration: It is the average change of velocity per unit time.

 ${\overrightarrow{a}}_{av} = \frac{∆\overrightarrow{\nu }}{∆\overrightarrow{t}} = \frac{\overrightarrow{v_2} -{\overrightarrow{\nu }}_1}{t_2-t_1}$

where v₂ and v₁ are the instantaneous velocities or simply velocities at time t₂ and t₁.

Instantaneous acceleration: It is defined as,

$a = \underset{∆t\to 0}{lim}\frac{∆v}{∆t} = \frac{dv}{dt}$

Position-time graph for motion
(a) positive acceleration
(b) negative acceleration
(c) zero acceleration