A car is standing 200m behind a bus, which is also at rest. The two...

A car is standing

200m

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

2m{s}^{- 2}

and the car has acceleration

4m{s}^{- 2}

. The car will catch up with the bus after time : A car is standing 200m behind a bus, which is also at rest. The two start moving at the same instant but with different

A car is standing 200m behind a bus, which is also at rest. The two start moving at the same instant but with different

Options

A $\sqrt{120}\text{s}$
B $15\text{s}$
C $\sqrt{110}\text{s}$
D $10\sqrt{2}\text{s}$

Correct answer

D. $10\sqrt{2}\text{s}$

Step-by-step solution

A car is standing 200m behind a bus, which is also at rest. The two start moving at the same instant but with different

${a}_{CB} = 2m{sec}^{- 2}$

$200 = \dfrac{1}{2} \times 2{t}^{2}$

$t = 10\sqrt{2}s$

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