## Motion in a Straight Line

# Understanding motion through graph

- Slope of position time graph given velocity.
- S-t graph of particle moving with uniform velocity.
- S-t graph of particle moving with uniform acceleration
- S-t graph of particle moving with uniform retardation.
- S-t graph of particle projected up
- Slope of velocity time graph given acceleration.
- Area of velocity time graph given displacement.
- V – t graph of particle moving with uniform velocity
- V – t graph of particle moving with uniform acceleration
- V – t graph of particle moving with uniform Retardation
- V – t graph of particle projected up
- S - t graph of a particle at rest
- Area of acceleration time graph given change in velocity
- a – t graph of a freely falling body
- a – t graph when acceleration is increasing and positive
- a – t graph when acceleration is decreasing and Negative
- V - t graph of a ball released from Certain height and taken certain bounces.
- S - t graph of a ball released from Certain height and taken certain bounces.
- a – t graph of a ball released from Certain height and taken certain bounces.
- Vt graph of a particle (α) accelerated for some time and (β) accelerated for same time
- Maximum velocity \tt V_{max}=\left(\frac{\alpha\beta}{\alpha+\beta}\right)\cdot t

Total displacement \tt S=\frac{1}{2}\left(\frac{\alpha\beta}{\alpha+\beta}\right)\cdot \ t^{2}

### View the Topic in this video From 00:07 To 07:59

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