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Q.

The slope of the distance-time graph of a car moving at a constant speed will be a


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a

Horizontal line

b

Straight inclined line

c

Vertical line

d

None of the above 

answer is B.

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Detailed Solution

The slope of the distance-time graph of a car moving at a constant speed will be a straight inclined line.
It is known that the distance is directly proportional to the time of the motion of the body and the slope of the graph of two directly proportional quantities is a straight inclined line. Therefore, the slope of the distance-time graph of a car moving at a constant speed is a straight inclined line. Also, the slope of the distance-time graph gives the speed of the body. Now, it is given that the car is moving at a constant speed, which means that the car travels equal distances in equal intervals of time. Hence, the slope of the distance-time graph of a car moving at a constant speed is a straight inclined line.
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