Question

Two cars C1 and C2 moving in the same direction on a straight single lane road with velocities 12m/s and 10m/s respectively. When the separation between two was 200m C2 started accelerating to avoid collisions. what is the minimum acceleration is C2 so that they don't collide?

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Answer 1

$\huge\star{\tt{\underline{\boxed{\red{Answer}}}}}\star$

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$\large{\tt{\bold{Relative \:Motion}}}$

Acceleration of C1 w.r.t to C2$\implies$$\vec{a1}-\vec{a2}$

$\implies$$\vec{a}_{c1}$ -$\vec{a}_{c2}$

$\implies$0-a

$\implies$ (-a)

Speed of car 1 w.r.t car 2$\implies$$\vec{u}_{1} -\vec{u}_{2}$

$\implies$12-10

$\implies$ 2m/s

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${\blue{\tt{The\: collision \:is \:just \:avioded\: if\: Relative\: velocity\: becomes}}}$${\tt{\blue{zero\: just\: at \:the \:moment \:the \:two \:cars\: meet \:each \:other.}}}$

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i.e

${v}_{1\:2} =0$

speed=2m/s

Acceleration=-a

s=200m

v²-u²=2as

0-2²=2 x( -a) x 200

a=1/100m/s²

or

a=1cm/s²

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Answer 2

Answer:

check the attachment ❤️