Question

A bus is moving with speed 10m/s . A car is approachi'g the bus with constant acceleration 1m/s^2 . Initial separation between these two is 100m . After what time will the car cross the bus. Initial velocity of car is 0

Answer 1

initial distance between the bus and motorcyclist = 1 km = 1000 m

the motorcyclist wants that he should catch the bus in 60 seconds , but since the bus is moving with a velocity the bus will cover some more distance in that 60 seconds

so distance covered by bus in 60 seconds = speed of bus * 60 seconds = 10 * 60 = 600m

that means that the motorcyclist has to cover 1000m + 600 m = 1600 m in 60 seconds

so speed of motor cyclist = distance that it has to cover / time in which it has to cover

= 1600 m / 60 seconds = 80/3 m/s