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Solution - Graphical Representation of Motion - Distance-time Graphs

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ConceptGraphical Representation of Motion - Distance-time Graphs  

Question

What can you say about the motion of an object whose distance-time graph is a straight line parallel to the time axis?

Solution

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The speed-time graph for a car is shown in the following figure

(a) Find out how far the car travels in the first 4 seconds. Shade the area on the graph that represents the distance travelled by the car during the period.

(b) Which part of the graph represents uniform motion of the car?

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What is the nature of the distance-time graphs for uniform and non-uniform motion of an object?

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What can you say about the motion of an object if its speed-time graph is a straight line parallel to the time axis?

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Given figure shows the distance-time graph of three objects A,B and C. Study the graph and answer the following questions:-

(a) Which of the three is travelling the fastest?

(b) Are all three ever at the same point on the road?

(c) How far has C travelled when B passes A?

(d) How far has B travelled by the time it passes C?

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A driver of a car travelling at 52 km h−1 applies the brakes and accelerates uniformly in the opposite direction. The car stops in 5 s. Another driver going at 3 km h−1 in another car applies his brakes slowly and stops in 10 s. On the same graph paper, plot the speed versus time graphs for the two cars. Which of the two cars travelled farther after the brakes were applied?

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Solution for concept: Graphical Representation of Motion - Distance-time Graphs. For the course 8th-10th CBSE
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