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A velocity vs. time graph gives a lucid representation of the speed and direction of an object in a time period.

**Acceleration** is the sensation you have when you're sitting in a jet during take-off, hitting on the brakes in a car, or turning a sector at a great velocity in a go-kart. This feeling of acceleration is felt due to a **change in the velocity** of these motions.

The meaning of

**velocity**is an object's speed in a specific direction.The velocities of two vehicles going at the same speed but also in different directions are distinct.

A

**velocity vs. time graph**represents the speed and direction of an object over a certain time period.**Speed-time graphs**are sometimes known as velocity vs. time graphs.The

**velocity**of the item is the vertical axis of a velocity vs. time graph.The

**time period**from the beginning of the motion is represented on the horizontal axis.

- The object's acceleration is represented by the
**gradient/slope**of a velocity vs. time graph. - As a result, the value of the slope at a given moment shows the object's
**acceleration**at that time. - This implies that whenever the gradient is steep, the object's velocity will change quickly and in cases where the slope is low, the object's velocity does not change as quickly.
- This also indicates that the acceleration will be negative if the slope is negative (oriented downwards) and positive if the gradient is positive (oriented upwards).
- Also, the region under the graph represents an
**object’s displacement**in a velocity vs. time graph.

**Velocity vs. time graph with zero acceleration**

In this case, the velocity would be constant throughout the time interval of the motion, no matter how much the time changes.

**Velocity vs. time graph with constant acceleration**

Whenever the acceleration is constant (positive), and the initial velocity of an object is zero, the object's velocity increases linearly.

**Velocity vs. time graph with increasing acceleration**

The velocity vs. time graph will be a curve when the acceleration increases with time.

- A velocity-time graph depicts how the velocity of an object in motion changes over time.
- The gradient/slope of a velocity vs. time graph shows the moving object's acceleration.
- The region under the graph represents an object’s displacement in a velocity vs. time graph.

**1. How to make a velocity vs. time graph?**

We can make a velocity vs. time graph by plotting the velocity on the y axis and the time on the x-axis.

**2. How to draw a velocity vs. time graph?**

By plotting the velocity of a motion on the vertical axis and at the time from the beginning on the horizontal, we can draw a velocity vs. time graph.

**3. What is the distance between two points using the velocity vs. time graph?**

The area under the graph of the two points on the velocity vs. time graph depicts the displacement between them.

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- Velocity vs. Time Graphs: https://flexbooks.ck12.org/cbook/ck-12-physics-flexbook-2.0/section/2.9/primary/lesson/velocity-time-graphs-ms-ps/. Accessed 8th April 2022.
- Velocity vs. Time Graphs: https://www.khanacademy.org/science/physics/one-dimensional-motion/acceleration-tutorial/a/what-are-velocity-vs.-time-graphs Accessed 8th April 2022.