Airplanes kinematics!

Classical Mechanics Level 2

For a plane to take off, it should get to a speed of 252 km/h. If the length of the straight track is taking off from is 980 m, the constant acceleration needed to take off, in m/s 2 ^2 , is

5 3 2.5 9.8 1

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Miguel Vásquez Vega by Miguel Vásquez Vega , 29, Colombia

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2 solutions

Note that 252 km/h = 70 m/s 252\mbox{ km/h}=70\mbox{ m/s} . Using v f 2 = v 0 2 + 2 a x v_f^2=v_0^2+2ax we have

( 70 m/s ) 2 = 0 2 + 2 a ( 980 m ) ⟹ a = 2.5 m/s 2 (70\mbox{ m/s})^{2}=0^{2}+2a(980\mbox{ m})\Longrightarrow a=2.5\mbox{ m/s}^{2} .

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Rajath Naik
Mar 1, 2015

Wen I first got the answer as 2.5m/s^2 I was inconfident about my solution bcoz of its simplicity..I still don't understand why is this problem rated for 100 points.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

I guess is because not enough people have solve it in order to rate it. I rated it level 1 when I posted it.

Miguel Vásquez Vega - 6 years, 3 months ago

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Well that settles it.haha..I thought there was a better soln...

Rajath Naik - 6 years, 3 months ago

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