-->

Matter In Our Surroundings

Question
CBSEENSC9005771

In this figure shows the distance-time graphs of two objects A and B moving with uniform speeds. Which of the two objects is moving faster?






Solution

Given, distance-time graph of two objects A and B moving with uniform speed.
Draw space perpendiculars space PS comma space QS comma space RS space on space the space co minus ordinate space axes space as space shown.

Speed space of space body space straight A space equals space Slope space of space PQ space

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space QS over PS space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 50 minus 10 over denominator 10 space colon 30 space minus space 9 space colon 30 end fraction space equals space 40 space km divided by straight h

Speed space of space body space straight B space equals space Slope space of space PR space

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space RS over PS space

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 30 minus 10 over denominator 10 colon 30 space minus space 9 colon 30 end fraction space equals space 20 space km divided by straight h
Thus we can see that distance-time graph for body A has greater slope.
Hence, object A is moving faster than body B.