I have a problem which involving a roller coaster coming to astop. The problem s

Question

I have a problem which involving a roller coaster coming to astop. The problem states before the brakes are applied the speed ofthe train is 10 m/s and the distance it travels witht he brakesapplied is 25meters. What is the magnitude of acceleration of thecoaster assuming it is constant. I am attempting to work the problem with the equationt=x/v and then a=v/t So I have t=25/10=2.5 seconds. And Acceleration = 10/2.5= 4 m/s2. However, the solution handout shows that the answer isactually 2m/s2. What am I doing wrong? Thank you in advance for anyassistance. -J I have a problem which involving a roller coaster coming to astop. The problem states before the brakes are applied the speed ofthe train is 10 m/s and the distance it travels witht he brakesapplied is 25meters. What is the magnitude of acceleration of thecoaster assuming it is constant. I am attempting to work the problem with the equationt=x/v and then a=v/t So I have t=25/10=2.5 seconds. And Acceleration = 10/2.5= 4 m/s2. However, the solution handout shows that the answer isactually 2m/s2. What am I doing wrong? Thank you in advance for anyassistance. -J

Explanation / Answer

Please remember to rate! -- Given: v(i) = initial velocity = 10 m/s v(f) = final velocity = 0 d = distance = 25 meters to stop a = acceleration = ??? -- -- v(f)^2 = v(i)^2 + 2*a*d 0 = 10^2 + 2*a*25 -100 = 50a a = -100/50 a = -2 m/s^2 -- -- Hope this helps.

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