Speed-time graphs of two cars are represented by P and Q as shown below (a) difference in distance t

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7. MOTION

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The speed-time graphs of two cars are represented by $P$ and $Q$ as shown below

$(a)$ Find the difference in the distance travelled by the two cars (in $m$ ) after $4\, s$.

$(b)$ Do they ever move with the same speed ? If so when ?

$(c)$ What type of motion car $P$ and $Q$ are undergoing ?

Option A

Option B

Option C

Option D

Solution

$(a)$ Distance covered by car $P$ in $4 s =12\, m$ (Area under $v-t$ graph $)$

Distance covered by car $Q$ in $4\, s=12\, m$ (Area under $v-t$ graph $)$

So difference $=0$

$(b)$ Yes, at $t=2 s$

$(c)$ Car $P$ : uniform acceleration and car $Q$ : uniform motion

Standard 9

Science

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