火车的速度为8m/s,关闭发动机后前进70m时速度减为6m/s.若再经过50s,火车又前进的距离为(  ) A.50m B.90m C.120m D.160m

问题描述:

火车的速度为8m/s,关闭发动机后前进70m时速度减为6m/s.若再经过50s,火车又前进的距离为(  )
A. 50m
B. 90m
C. 120m
D. 160m

设火车的加速度为a,根据vt2− v02 =2ax
可得a=

vt2v02
2x
=
36−64
2×70
=-
1
5
m/s2
故从速度为6m/s到停止所需要的时间
t=
△v
a
=
−6
1
5
=30s.
故再经过50s火车前进的距离实际为火车前进30s前进的距离
s=
.
v
t
=
6
2
×30
=90m
故选B.