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CBSE Class 11-science Answered

Base your answers to questions on the speed-time graph below representing the motion of a cart. (a)   In which interval of time the cart travels shortest and greatest distance? (b)   During which interval of time the cart's average speed is greatest? (c)   What is the distance traveled by the object during the time interval 22 to 32 seconds?      
Asked by Topperlearning User | 17 Apr, 2014, 12:43: PM
answered-by-expert Expert Answer

a) The shortest distance traveled is in the time interval 0-10 s.

[The area under the speed -time graph represents the distance traveled by the object.]
 
Complete the rectangle and its area is 30m/s x 6m, which gives the greatest distance traveled.
The area during the time interval 16 to 22 seconds =
Therefore,
The greatest distance traveled is in the time interval 16-22 s.
 
(b) Average speed=
The cart's average speed is greatest during the time interval 16-22 s. This portion of the graph represents that velocity of the cart remains constant.
 
(c) As we know the area under the speed (velocity)-time graph represents the distance (displacement) traveled by the object.
The area during the time interval 22 to32 seconds =
Answered by | 17 Apr, 2014, 02:43: PM

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