Figure below shows the distance-time graph of three objects A, B and C. Find the speed of all the three bodies. Which of the following three is travelling the fastest? [3 MARKS]

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Solution

Finding speed of A,B,C : 1 Mark each

We know, $s p e e d = \frac{d i s t a n c e}{t i m e}$

Speed of Car A = $\frac{S_{f i n a l} - S_{i n i t i a l}}{t i m e}$ = $\frac{13 - 8}{1.4} = 3.57 k m p h$
Speed of Car B = $\frac{S_{f i n a l} - S_{i n i t i a l}}{t i m e}$ = $\frac{8 - 0}{0.6} = 13.33 k m p h$
Speed of Car C = $\frac{S_{f i n a l} - S_{i n i t i a l}}{t i m e}$ = $\frac{13 - 4}{1.4} = 6.43 k m p h$
Hence, Car B is travelling fastest.

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Figure below shows the distance-time graph of three objects A, B and C. Find the speed of all the three bodies. Which of the following three is travelling the fastest? [3 MARKS]

Finding speed of A,B,C : 1 Mark each We know, speed=distancetime Speed of Car A = Sfinal−Sinitialtime = 13−81.4=3.57 kmph Speed of Car B = Sfinal−Sinitialtime = 8−00.6=13.33 kmph Speed of Car C = Sfinal−Sinitialtime = 13−41.4=6.43 kmph Hence, Car B is travelling fastest.