For a train engine moving with speed of 20 m/s the driver must apply brakes at a distance of 500 m before the station for the train to come to rest at the station. If the brakes were applied at half of this distance, the train engine would cross the station with speed x \sqrt{x} x m/s The value of x is __________ .(Assuming same retardation is produced by brakes)
Physics · Kinematics Part-1 (one dimension) · Motion under constant acceleration
JEE Main 2023 (Online) 1st February Evening Shift kinematics previous year

Question

For a train engine moving with speed of 20 m/s the driver must apply brakes at a distance of 500 m before the station for the train to come to rest at the station. If the brakes were applied at half of this distance, the train engine would cross the station with speed x \sqrt{x} x m/s The value of x is __________ .(Assuming same retardation is produced by brakes)

Physics · Kinematics Part-1 (one dimension) · Motion under constant acceleration

G1 Physics · Accepted Answer

See the full worked solution on G1 Physics.