.一种特殊飞机,加速滑行时,加速度a=4.0 m/s2.设当飞机速率达到85

.一种特殊飞机,加速滑行时,加速度a=4.0 m/s2.设当飞机速率达到85 m/s时就可升空.如果允许飞机在达到起飞速率的瞬间停止起飞,且以5.0 m/s2的加速度减速,为确保飞机不滑出跑道,则跑道的长度至少应当设计为多长?

【解析】:设加速位移x1

由2ax1v2-0

得加速位移

x1==903.125 m

设减速位移x2,减速过程中加速度

a′=-5.0 m/s2

由2ax2=0-v2

得减速位移

x2==722.5 m

所以跑道至少长度

xx1x2=1625.625 m.

 

答案

:1625.625 m

 

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