绗竴绔?/p>
璐ㄧ偣杩愬姩瀛?/p>
1
锛?/p>
1
涓�璐ㄧ偣娌跨洿绾胯繍鍔紝杩愬姩鏂圭▼涓?/p>
x
(
t
) = 6
t
2
- 2
t
3
锛庤瘯姹傦細
锛?/p>
1
锛夌
2s
鍐呯殑浣嶇Щ鍜屽钩鍧囬�熷害锛?/p>
锛?/p>
2
锛?/p>
1s
鏈強
2s
鏈殑鐬椂閫熷害锛岀
2s
鍐呯殑璺▼锛?/p>
锛?/p>
3
锛?/p>
1s
鏈殑鐬椂鍔犻�熷害鍜岀
2s
鍐呯殑骞冲潎鍔犻�熷害锛?/p>
[
瑙ｇ瓟
]
锛?/p>
1
锛夎川鐐瑰湪绗?/p>
1s
鏈殑浣嶇疆涓猴細
x
(1) = 6
脳
1
2
- 2
脳
1
3
= 4(m)
锛?/p>
鍦ㄧ
2s
鏈殑浣嶇疆涓猴細
x
(2) = 6
脳
2
2
- 2
脳
2
3
= 8(m)
锛?/p>
鍦ㄧ
2s
鍐呯殑浣嶇Щ澶у皬涓猴細
螖
x
=
x
(2)
鈥?/p>
x
(1) = 4(m)
锛?/p>
缁忚繃鐨勬椂闂翠负
螖
t
= 1s
锛屾墍浠ュ钩鍧囬�熷害澶у皬涓猴細
v
=
螖
x
/
螖
t
= 4(m路
s
-1
)
锛?/p>
锛?/p>
2
锛夎川鐐圭殑鐬椂閫熷害澶у皬涓猴細
v
(
t
) = d
x
/d
t
= 12
t
- 6
t
2
锛?/p>
鍥犳
v
(1) = 12
脳
1 - 6
脳
1
2
= 6(m路
s
-1
)
锛?/p>
v
(2) = 12
脳
2 - 6
脳
2
2
= 0
璐ㄧ偣鍦ㄧ
2s
鍐呯殑璺▼绛変簬鍏朵綅绉荤殑澶у皬锛屽嵆
螖
s
=
螖
x
= 4m
锛?/p>
锛?/p>
3
锛夎川鐐圭殑鐬椂鍔犻�熷害澶у皬涓猴細
a
(
t
) = d
v
/d
t
= 12 - 12
t
锛?/p>
鍥犳
1s
鏈殑鐬椂鍔犻�熷害涓猴細
a
(1) = 12 - 12
脳
1 = 0
锛?/p>
绗?/p>
2s
鍐呯殑骞冲潎鍔犻�熷害涓猴細
a
= [
v
(2) -
v
(1)]/
螖
t
= [0
鈥?/p>
6]/1 = -6(m路
s
-2
)
锛?/p>
[
娉ㄦ剰
]
绗嚑绉掑唴鐨勫钩鍧囬�熷害鍜屽钩鍧囧姞閫熷害鐨勬椂闂撮棿闅旈兘鏄?/p>
1
绉掞紟
1
锛?/p>
2
涓�璐ㄧ偣浣滃寑鍔犻�熺洿绾胯繍鍔紝鍦?/p>
t
= 10s
鍐呰蛋杩囪矾绋?/p>
s
= 30m
锛岃�屽叾閫熷害澧炰负
n
= 5
鍊嶏紟璇曡瘉鍔犻�熷害
涓?/p>
2
2(
1)
(
1)
n
s
a
n
t
飥?/p>
飥?
飥?/p>
锛屽苟鐢变笂杩版暟鎹眰鍑洪噺鍊硷紟
[
璇佹槑
]
渚濋鎰忓緱
v
t
=
nv
o
锛屾牴鎹�熷害鍏紡
v
t
=
v
o
+
at
锛屽緱
a
= (
n
鈥?/p>
1)
v
o
/
t
锛?/p>
(1)
鏍规嵁閫熷害涓庝綅绉荤殑鍏崇郴寮?/p>
v
t
2
=
v
o
2
+ 2
as
锛屽緱
a
= (
n
2
鈥?/p>
1)
v
o
2
/2
s
锛?/p>
(2)
锛?/p>
1
锛夊钩鏂逛箣鍚庨櫎浠ワ紙
2
锛夊紡璇佸緱锛?/p>
2
2(
1)
(
1)
n
s
a
n
t
飥?/p>
飥?
飥?/p>
锛?/p>
璁＄畻寰楀姞閫熷害涓猴細
2
2(5
1)30
(5
1)10
a
飥?/p>
飥?
飥?/p>
= 0.4(m路
s
-2
)
锛?/p>
1
锛?/p>
3
涓�浜轰箻鎽╂墭杞﹁烦瓒婁竴涓ぇ鐭垮潙锛屼粬浠ヤ笌姘村钩鎴?/p>
22.5掳
鐨勫す瑙掔殑鍒濋�熷害
65m路
s
-1
浠庤タ杈硅捣璺筹紝鍑嗙‘
鍦拌惤鍦ㄥ潙鐨勪笢杈癸紟宸茬煡涓滆竟姣旇タ杈逛綆
70m
锛屽拷鐣ョ┖姘旈樆鍔涳紝涓斿彇
g
= 10m路
s
-2
锛庨棶锛?/p>
锛?/p>
1
锛夌熆鍧戞湁澶氬锛熶粬椋炶秺鐨勬椂闂村闀匡紵
锛?/p>
2
锛変粬鍦ㄤ笢杈硅惤鍦版椂鐨勯�熷害锛熼�熷害涓庢按骞抽潰鐨勫す瑙掞紵
[
瑙ｇ瓟
]
鏂规硶涓�锛氬垎姝ユ硶锛?/p>
锛?/p>
1
锛夊す瑙掔敤
胃
琛ㄧず锛屼汉鍜岃溅锛堜汉锛夊湪绔栫洿鏂瑰悜棣栧厛鍋氱珫鐩翠笂鎶涜繍鍔紝
鍒濋�熷害鐨勫ぇ灏忎负
v
y
0
=
v
0
sin
胃
= 24.87(m路
s
-1
)
锛?/p>
鍙栧悜涓婄殑鏂瑰悜涓烘锛屾牴鎹寑鍙橀�熺洿绾胯繍鍔ㄧ殑閫熷害鍏紡
v
t
-
v
0
=
at
锛?/p>
杩欓噷鐨?/p>
v
0
灏辨槸
v
y
0
锛?/p>
a = -g
锛涘綋浜鸿揪鍒版渶楂樼偣鏃讹紝
v
t
= 0
锛屾墍浠ヤ笂鍗囧埌鏈�楂樼偣鐨勬椂闂翠负
t
1
=
v
y
0
/
g
= 2.49(s)
锛?/p>
鍐嶆牴鎹寑鍙橀�熺洿绾胯繍鍔ㄧ殑閫熷害鍜屼綅绉荤殑鍏崇郴寮忥細
v
t
2
-
v
0
2
= 2
a
s
锛?/p>
鍙緱涓婂崌鐨勬渶澶ч珮搴︿负锛?/p>
h
1
=
v
y
0
2
/2
g
= 30.94(m)
锛?/p>
浜轰粠鏈�楂樼偣寮�濮嬪啀鍋氳嚜鐢辫惤浣撹繍鍔紝涓嬭惤鐨勯珮搴︿负
;
h
2
= h
1
+ h
= 100.94(m)
锛?/p>
鏍规嵁鑷敱钀戒綋杩愬姩鍏紡
s = gt
2
/2
锛屽緱涓嬭惤鐨勬椂闂翠负
:
2
2
2
h
t
g
飥?/p>
= 4.49(s)
锛?/p>
鍥犳浜洪瓒婄殑鏃堕棿涓猴細
t
= t
1
+ t
2
= 6.98(s)
锛?/p>
浜洪瓒婄殑姘村钩閫熷害涓?/p>
;
v
x
0
=
v
0
cos
胃
=
60.05(m路
s
-1
)
锛?/p>
70m
22.5
潞
鍥?/p>
1.3