Distance - time graph below represents motion of two buses A and B (i) distance by which bus B was a

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7. MOTION

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Distance$-$time graph below represents the motion of two buses $A$ and $B$

$(i)$ What is the distance by which bus $B$ was ahead of bus $A$ initially ?

$(ii)$ Do they ever meet each other ? If so, when ?

$(iii)$ What is the distance travelled by bus $A$ when it overtakes bus $B$ ?

$(iv)$ Find out the distance by which bus $A$ was ahead of bus $B$ at $y=12 h$

$(v)$ Which one of them is moving faster ? Give reason.

Option A

Option B

Option C

Option D

Solution

$(i)$ $20 km$

$(ii)$ Yes, they meet after $9$ hour.

$(iii)$ $60 km$.

$(iv)$ $80-70=10 km$

$(v)$ $A$ moves faster as its slope is higher than $B$.

Standard 9

Science

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