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

Options

A. `20 ms^-1`
B. `40 ms^-1`
C. `25 ms^-1`
D. `10 ms^-1`

Answer

A

Explanation

The relative velocity of scooter w.r.t. bus,
`vec(v_(S, B)) = vec(v_S) -vec(v_B) =vec(v_S) - 10`…(i)
Relative velocity = `("Relative displacement")/("time")`
`v_S- 10 = (1000)/(100) = 10 rArr v_S = 20 m//s`.