 |
| Speed - Time Graph |
 |
| To calculate the distance covered by a moving object from speed-time graph |
| |
| The figure below gives the speed-time graph of a car moving with a uniform speed of 60 km/h for 5 hours. |
| |
 |
| |
| Speed-Time Graph of a Car Moving with Uniform Speed |
| |
| Distance travelled by the car (S) = v x t |
| |
 |
| |
 |
| |
| But 60 km/h = OC = breadth of the rectangle OABC |
| |
| 5h = OA = length of the rectangle OABC |
| |
| i.e., the distance covered by the car = length x breadth = 300 km. |
| |
| To calculate the distance covered by a moving object from a speed-time graph we just have to find the area enclosed by the speed-time graph and the time axis. |
| |
| In case of non-uniform motion, the distance covered by the object the speed of the object is increasing in steps. The speed remains constant during the time interval 0 - t1, t1 - t2, t2 - t3 ...... |
| |
| Figure below gives the motion of an object moving with variable speed. |
| |
 |
| Speed - Time Graph for an Object Moving with Variable Speed |
| |
| |
 |
| Calculation of Distance |
| |
| |
The total distance covered by the object during the time interval |
| |
| 0-t6 = Area of rectangle 1+ area of rectangle 2+……+ area of rectangle 6. |
| |