A plane traveling at 300.0 km/h attempts to land on a 500 m runway. The plane’s engines and brakes accelerate uniformly at –5.0 m/s2. Will the plane be able to land safely?

Answer 1

300 km/h is 83.3 meters per second. Divide that speed by the 5.0 deceleration rate to get the number of seconds needed to stop: 16.7 s
At an average speed of 83.3/2 m/s during that interval, the plane needs 694 meters to stop.
500 m is not enough runway.