Motion


   
 
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.
 
 
     
   
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