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NEET2009PhysicsMotion in One DimensionActual

A bus is moving with a speed of 10 ~ms ⁻¹ on a straight road. A scooterist wishes to overtake the bus in 100 ~s . If the bus is at a distance of 1 ~km from the scooterist, with what speed should the scooterist chase the bus?

Options

  1. A20 ~ms ⁻¹
  2. B40 ~ms ⁻¹
  3. C25 ~ms ⁻¹
  4. D10 ~ms ⁻¹

Correct answer

A. 20 ~ms ⁻¹

Step-by-step solution

Let y be the relative velocity of scooter(s) w.r.t. bus (B) , then aligned v_S & = v + v _ B Relative velocity & = displacement / time & = 1000 100 =10 ~ms ⁻¹ aligned Now, substituting the value of in Eq. (i), we get v _ S =10+10=20 ~ms ⁻¹

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