A train is slowing down with an average acceleration of - 5.0 m/s2 (negative sign shows deceleration). If its initial velocity is 50. m/s, how far does it travel in 6.0 seconds?

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Physics

Abigayle Dunlap

Today, 17:06

A train is slowing down with an average acceleration of - 5.0 m/s2 (negative sign shows deceleration). If its initial velocity is 50. m/s, how far does it travel in 6.0 seconds?

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Teagan Manning · Answer 1

This problem requires 2 kinematics equations. What you first must do is find the Final Velocity with the given values ... Vf = Vi + at ... which is Vf = 50 + (-5) (6) which would simplify to Vf = 30. Then you can plug this value along with the given values into the kinematics equation Vf^2=Vi^2 + 2ax. Plugged in this would be 30^2=50^2 + 2 (-5) x. This can then be simplified to find x (distance). Which would be x=160. This means that the train traveled 160m.