Important Graph Relations

Important Graph Relations

### Formula:

$$\text{Slope of x-t graph}=v$$

### Terminologies:

- Slope → Rate of change of one quantity with another.

- x-t graph → Position-time graph.

- v → Velocity.

### Usage:

- Used to determine velocity from position-time graph.

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### Formula:

$$\text{Slope of v-t graph}=a$$

### Terminologies:

- v-t graph → Velocity-time graph.

- a → Acceleration.

### Usage:

- Used to determine acceleration from velocity-time graph.

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### Formula:

$$\text{Area under v-t graph}=\Delta x$$

### Terminologies:

- Δx → Displacement.

- Area under graph → Region enclosed between curve and time axis.

### Usage:

- Used to calculate displacement from velocity-time graph.

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### Formula:

$$\text{Area under a-t graph}=\Delta v$$

### Terminologies:

- Δv → Change in velocity.

- a-t graph → Acceleration-time graph.

### Usage:

- Used to calculate change in velocity from acceleration-time graph.

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