# 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 : Option 1)   s Option 2)   s Option 3) 10   s Option 4) 15 s

As we learnt in

Case of Relative velocity. -

When A and B are moving along a straight line in the same direction.

= Velocity of object A.

= Velocity of object B.

Relative velocity  of A wr to B is

All are in same direction.

- wherein

a)

= (20 - 5) ms-1

= 15 ms-1

b)

= (5 - 20) ms-1

= - 15 ms-1

Initial separation between bus and car

Option 1)

s

Incorrect

Option 2)

s

Incorrect

Option 3)

10   s

Correct

Option 4)

15 s

Incorrect

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