Monday, February 20, 2012

How far did the plane move while accelerating?

I'm having a bit of trouble figuring out this physics problem:



A small turbo-prop commuter airplane, starting from rest on a Lansing airport runway, accelerates for 19.0 s before taking off. Its speed at takeoff is 50.0 m/s. Calculate the acceleration of the plane, in g's, assuming it remains constant.

2.683脳10-1



Now the part I can't figure out:



In the problem above, how far did the plane move while accelerating?How far did the plane move while accelerating?t = 19 s

v0 = 0 m/s

v1 = 50 m/s



a = (v1-v0)/t

a = (50-0)/19 = 2.632 m/s

which in g's is 0.26853



d = 0.5 * a *t^2

d = 0.5 * 2.632 * 19^2 = 475.0760 m

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