![](http://hiphotos.baidu.com/zhidao/pic/item/b8389b504fc2d5623aa6215ce41190ef77c66cd1.jpg)
| ||
v1 |
a+bcotθ |
v |
解得:
v1=
bv |
asinθ+bcosθ |
bv | ||
|
當(dāng)sin(θ+β)=1時(shí),速率最小為
bv | ||
|
因人以恒定的運(yùn)動(dòng),設(shè)所用的時(shí)間為t;
則有t=
x |
v |
根據(jù)幾何關(guān)系,代入數(shù)據(jù),解得:
t=
c(a2+b2) |
abv |
答:人能以最小速度沿一直線穿過馬路所用時(shí)間為
c(a2+b2) |
abv |
| ||
v1 |
a+bcotθ |
v |
bv |
asinθ+bcosθ |
bv | ||
|
bv | ||
|
x |
v |
c(a2+b2) |
abv |
c(a2+b2) |
abv |