跳傘運(yùn)動(dòng)員做低空跳傘表演,他離開(kāi)飛機(jī)后先做自由落體運(yùn)動(dòng),當(dāng)自由下落180m的距離時(shí),打開(kāi)降落傘,傘張開(kāi)后運(yùn)動(dòng)員就以14m/s
2的加速度做勻減速運(yùn)動(dòng),到達(dá)地面時(shí)速度為4m/s,問(wèn):(g取10m/s
2)
![](http://hiphotos.baidu.com/zhidao/pic/item/908fa0ec08fa513d39ec566d3e6d55fbb2fbd93a.jpg)
(1)運(yùn)動(dòng)員打開(kāi)降落傘時(shí)的瞬時(shí)速度是多少?
(2)離開(kāi)飛機(jī)后經(jīng)過(guò)多長(zhǎng)時(shí)間到達(dá)地面?
(1)運(yùn)動(dòng)員打開(kāi)傘前做自由落體運(yùn)動(dòng),根據(jù):
h=gt2,可求得運(yùn)動(dòng)員打開(kāi)傘時(shí)所用的時(shí)間:t
1=6s,所以運(yùn)動(dòng)員打開(kāi)降落傘時(shí)的瞬時(shí)速度是:v=gt=10╳6=60m/s.
或由:v
12=2gs
1,可求得運(yùn)動(dòng)員打開(kāi)傘時(shí)的速度為:v
1=60 m/s.
(2)打開(kāi)傘后運(yùn)動(dòng)到達(dá)地面的時(shí)間為:
t2===4s,
離開(kāi)飛機(jī)時(shí)到達(dá)地面的所用的總時(shí)間為:t=t
1+t
2=10s
答:(1)運(yùn)動(dòng)員打開(kāi)降落傘時(shí)的瞬時(shí)速度是60m/s.
(2)離開(kāi)飛機(jī)后經(jīng)過(guò)10s到達(dá)地面.