Difference between revisions of "Velocity-Time Graph"
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: On a '''velocity-time graph''' the [[velocity]] is plotted on the [[y-axis]] and the [[time]] is plotted on the [[x-axis]]. | : On a '''velocity-time graph''' the [[velocity]] is plotted on the [[y-axis]] and the [[time]] is plotted on the [[x-axis]]. | ||
: A '''velocity-time graph''' can be used to calculate the [[acceleration]] of an [[object]] or the [[distance]] travelled by the [[object]]. | : A '''velocity-time graph''' can be used to calculate the [[acceleration]] of an [[object]] or the [[distance]] travelled by the [[object]]. | ||
| − | + | : The [[gradient]] of a '''velocity-time graph''' is the same as the [[acceleration]]. | |
| + | : The [[area]] under the curve on a '''velocity-time graph''' is the [[distance]] travelled by an [[object]]. | ||
{| class="wikitable" | {| class="wikitable" | ||
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| style="height:20px; width:200px; text-align:center;" |[[Deceleration]] is shown by a negative [[gradient]]. | | style="height:20px; width:200px; text-align:center;" |[[Deceleration]] is shown by a negative [[gradient]]. | ||
|} | |} | ||
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===Example Calculations=== | ===Example Calculations=== | ||
Revision as of 11:06, 14 February 2019
Contents
Key Stage 4
Meaning
A velocity-time graph is a graph that shows how the velocity of an object changes with time.
About Velocity Time Graphs
- Velocity-time graphs give information about the journey taken by an object.
- On a velocity-time graph the velocity is plotted on the y-axis and the time is plotted on the x-axis.
- A velocity-time graph can be used to calculate the acceleration of an object or the distance travelled by the object.
- The gradient of a velocity-time graph is the same as the acceleration.
- The area under the curve on a velocity-time graph is the distance travelled by an object.
| Constant Velocity | Accelerating | Decelerating |
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 |
 |
| A gradient of zero shows the object is travelling at a constant velocity. | Acceleration is shown by a positive gradient. | Deceleration is shown by a negative gradient. |
Example Calculations
Calculating Acceleration
- The acceleration can be calculated from a velocity-time graph by reading the graph and using the equation <math>a=\frac{v-u}{t}.
| Calculate the acceleration of the object in the first 10 seconds of the journey. | Calculate the acceleration of the object in the first 10 seconds of the journey. |
| Calculate the distance travelled by the object in the first 20 seconds the entire journey. | Calculate the distance travelled by the object over the entire journey. |