JEE Main & Advanced
JEE Main Paper (Held On 9 April 2017)
question_answer
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 at time of - [JEE Online 09-04-2017]
A) \[\sqrt{120}\,s\]
B) \[15\,s\]
C) \[\sqrt{110}\,s\]
D) \[10\sqrt{2}\,s\]
Correct Answer:
D
Solution :
\[{{a}_{CB}}=2\,m/{{s}^{2}}\] \[200\,=\frac{1}{2}\,\times 2{{t}^{2}}\] \[t=10\sqrt{2}\] second