Lúc 7 giờ sáng người thứ nhất khởi hành từ A đi về B với vận tốc 40km/h. Cùng lúc đó người thứ hai đi từ B về A với vận tốc 60km/h. Biết đường thẳng AB=200km. 1. Viết phương trình chuyển động của 2 người trên trên cùng một hệ quy chiếu. 2. Hỏi hai người gặp nhau lúc mấy giờ? Ở đâu? Khi gặp nhau mỗi người đã đi được quãng đường là bao nhiêu? 3. Vẽ độ thị chuyển động của hai người trên cùng một hệ trục tọa độ.
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Chọn gốc tọa độ O trùng A
Chiều dương trục Ox : từ A đến B
a,Phương trình chuyển động của mỗi vật:
\(x_1=40t(km,h)\)
\(x_2=100-60t(km,h)\)
b,Khi 2 xe gặp nhau
\(x_1=x_2 \Rightarrow40t=100-60t\Rightarrow t=1 (h)\)
Vậy thời điểm 2 xe gặp nhau là 7h+1h=8h
Vị trí gặp cách A :40.1=40(km)
c, Quãng đường mà mỗi xe đi được đến khi gặp nhau
\(s_1=40\cdot1=40\left(km\right)\)
\(s_2=60\cdot1=60\left(km\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1.chon \(Ox\equiv AB,O\equiv A,\)goc tg luc 8H\(\Rightarrow\left\{{}\begin{matrix}xA=4t\\xB=24-12\left(t-1\right)\end{matrix}\right.\)
2.\(\Rightarrow xA=xB\Leftrightarrow t=2,25h=135'\)=>2 nguoi gap nhau luc 10h15'
vi tri gap nhau cach A: \(S=xA=4.2,25=9km\)
3.\(\Rightarrow\left|4t-24+12\left(t-1\right)\right|=8\Leftrightarrow\left[{}\begin{matrix}t=2,75h\\t=1,75h\end{matrix}\right.\)
=>luc 9h45' va luc 10h45' 2 nguoi cach nhau 8km
![](https://rs.olm.vn/images/avt/0.png?1311)
Chọn gốc tọa độ O trùng A
Chiều dương trục Ox : từ A đến B
chọn gốc thời gian là 8h
Phương trình chuyển động của mỗi người là:
\(x_1=4t(km,h)\)
\(x_2=24-12(t-1)(km,h)\)
2/Khi 2 xe gặp nhau
\(x_1=x_2 \Rightarrow 4t= 24-12(t-1)\Rightarrow t= \dfrac{9}{4} (h)\)
Vậy thời điểm 2 xe gặp nhau là \(8+\dfrac{9}{4}=\dfrac{41}{4}\left(h\right)=10h15'\)
Vị trí gặp cách A :\(4\cdot\dfrac{9}{4}=9\left(km\right)\)
3/ Hai người cách nhau 8km
\(d=\left|x_1-x_2\right|\Rightarrow8=\left|4t-\left[24-12\left(t-1\right)\right]\right|\Rightarrow\left[{}\begin{matrix}t=2,75\left(h\right)\\t=1,75\left(h\right)\end{matrix}\right.\)
Vậy ...< bạn lấy 8h + với từng t ở trên để ra thời điểm nha>
![](https://rs.olm.vn/images/avt/0.png?1311)
Giải:
a. Chọn chiều dương là chiều chuyển động của xe, gốc tọa độ tại vị trí A, gốc thời gian là lúc 8h sáng.
Ta có phương trình chuyển động của xe x = x 0 + v t
với x 0 = 0 ; v = 40 k m / h ⇒ x = 40 t
b. Sau khi chuyển động 30ph tức là t = 0,5h
⇒ x = 40.0 , 5 = 20 ( k m )
Vậy sau 0,5h xe cách vị trí A 20 km
c. Người đó cách A 60km tức là x = 60km
⇒ 60 = 40 t ⇒ t = 60 40 = 1 , 5 ( h )
Vậy sau 1,5h xe cách vị trí A 60km
![](https://rs.olm.vn/images/avt/0.png?1311)
a, Quãng đường xe thứ nhất đi được sau 1h:
s1= v1.t=54.1=54(km)
Quãng đường xe thứ hai đi được sau 1h:
s2= v2.t=60.1=60(km)
b, Khoảng cách 2 xe sau 1 giờ:
s'=(54+60)-30= 84(km)
Tóm tắt:
\(s_{AB}=30km\)
\(v_1=54km/h\)
\(v_2=60km/h\)
==========
a) \(t=1h\)
\(s_1=?km\)
\(s_2=?km\)
b) \(s'=?km\)
a) Quãng đường xe thứ nhất đi được:
\(s_1=v_1t=54\cdot1=54\left(km\right)\)
Quãng đường xe thứ hai đi được:
\(s_2=v_2t=60\cdot1=60\left(km\right)\)
b) Khoảng cách của hai xe là:
\(s'=\left(s_1+s_2\right)-s_{AB}=\left(54+60\right)-30=84\left(km\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
xe ô tô thứ nhất đi nửa giờ có quãng đướng là: 40 x 0,5 = 20 km. và sửa xe hết 0,5 giờ. như vậy mất 1 giờ thì xe đi được 20 km. Nghĩa là lúc 8h xe 1 di chuyển từ vị trí cách A 20km. và đồng thời lúc này xe hai xuất phát từ A
lúc này bài toán trở về dạng hai xe cùng xuất phát lúc 8 giờ. xe 1 xuất phát cách A 20km còn xe 2 xuất phát từ A.
Gọi thời gian hai xe đi từ khi xe 2 xuất phát (xe 1 cách A 20km) là t ta có phương trình chuyển động của 2 xe là:
xe 1: s = 20 + 40.t
xe 2: s = 60.t
khi hai xe gặp nhau thì quãng đường đi được là như nhau nên ta có:
20 + 40t = 60t
<=> t = 1 (giờ)
vậy thời điểm hai xe gặp nhau lúc 8 + 1 = 9 giờ
quãng đường đi được cách A là : 60.1 = 60km
chon \(Ox\equiv AB,O\equiv A,\) chieu(+) A->B, goc tgian luc 7h
a,\(\Rightarrow\left\{{}\begin{matrix}xA=40t\\xB=200-60t\end{matrix}\right.\)
b,\(\Rightarrow xA=xB\Leftrightarrow t=2h\)=>2 nguoi gap nhau luc 9h
nguoi A di duoc \(S1=80km\)
nguoi B di duoc \(S2=200-80=120km\)
c,![](data:image/png;base64,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)