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  4. A car is standing 200 m behind a bus, which is also at rest. The two start moving at the same instant but with different forward accelerations. The bus has acceleration 2 m/s2 and the car has acceleration 4 m/s2. The car will catch up with the bus after a time of :

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Q. A car is standing $200\, m$ behind a bus, which is also at rest. The two start moving at the same instant but with different forward accelerations. The bus has acceleration $2 \, m/s^2$ and the car has acceleration $4 \, m/s^2$. The car will catch up with the bus after a time of :

JEE MainJEE Main 2017Motion in a Straight Line

Solution:

image
$a_{CB} = 2 \,m/sec ^2$
$200=\frac{1}{2}\times2t^{2}$
$t=10\sqrt{2}$ second