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Câu hỏi của Nguyễn Hồng Anh - Vật lý lớp 0 | Học trực tuyến
Vào đây nhé!!!
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Chọn trục tọa độ như hình vẽ, gốc tọa độ trùng với A.
Chọn mốc thời gian lúc hai xe bắt đầu chuyển động.
Phương trình chuyển động tổng quát: \(x=x_0+v.t\)
Suy ra:
Phương trình chuyển động của xe 1: \(x_1=20.t(km)\)
Phương trình chuyển động của xe 2: \(x_2=60-40.t(km)\)
b) Hai xe gặp nhau khi: \(x_1=x_2\Rightarrow 20.t=60-40.t\Rightarrow t=1(h)\)
Vị trí hai xe gặp nhau: \(x=20.1=20(km)\)
Quãng đường xe 1 đã đi: \(S_1=v_1.t=20.1=20(km)\)
Quãng đường xe 2 đã đi: \(S_2=v_2.t=40.1=40(km)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Chọn trục Ox trùng với đường thẳng AB, gốc tọa độ là A, chiều dương từ A đến B, gốc thời gian là lúc 7h sáng. Ta có:
v1=36(km/h)=10m/s; v2=18km/h =5m/s
Phương trình chuyển động của xe đi từ A và xe đi từ B là:
x1=10t (1)
x2=3600−5(t−30)=3750−5t (2)
Hai xe gặp nhau khi x1=x2, suy ra: 10t=3750−5t→15t=3750→t=250s=4 phút 10s Từ đó x1=x2=10.250=2500m Hai xe gặp nhau lúc 7h 4phút 10s, tại vị trí cách A là 2500m Hai xe cách nhau 2250m: |x1−x2|=2250→|15t−3750|=2250 Trường hợp 1: 15t−3750=2250→t=400s Khi đó xe 1 cách A: x1=10t=10×400=4000m; và xe 2 cách A: x2=3750−5×400=1750m Trường hợp 2: 15t−3750=−2250→t=100s Khi đó xe 1 cách A: x1=10t=10×100=1000m; và xe 2 cách A: x2=3750−5×100=3250m |
![](https://rs.olm.vn/images/avt/0.png?1311)
chọn hệ quy chiếu: gốc tọa độ trùng A
chiều dượng của Ox từ A đến B
gốc thời gian khi ô tô đi qua điểm A ( lúc 8h)
a) phương trình chuyển động của 2 xe
x1=10t - 0,1t^2
x2= 560 - 0,2t^2
2 xe gặp nhau <=> x1=x2
<=> t=40s
x=x1=x2= 240m
b) phương trình vận tốc của 2 xe: (v=v0 + at)
v1=10 - 0,2 .40 =2 m/s
v2= 0+ 0,4 .40 = 16 m/s
Chọn gốc thời gian là lúc 8h, gốc tọa độ tại A, chiều dương từ A đến B
ô tô 1: xo1 = 0; vo1 = 10m/s; a1 = -0,2m/s2
ô tô 2: xo1 = 560; vo1 = 0; a1 = 0,4m/s2
Giải
a) Phương trình chuyển động của hai xe:
x1 = x01 + v01t + 0,5a1t2 = 10t – 0,1t2 (1)
x2 = x02 + v02t + 0,5a2t2 = 560 – 0,2t2 (2)
b) Khi hai xe gặp nhau:
x1 = x2 => 10t – 0,1t2 = 560 – 0,2t2 => t = 40 s
=> x1 = x2 = 240 m.
c) Thời gian để xe một dừng lại:
v1 = vo1 + a1.t => t = 50 s;
![](https://rs.olm.vn/images/avt/0.png?1311)
Chọn chiều dương là chiều chuyển động từ A đến B, gốc tọa độ tại A, gốc thời gian là lúc xe từ A xuất phát
a; Phương trình chuyển động có dạng : x = x 0 + v t
Toạ độ khi hai xe gặp nhau: x 1 = 60. 1,2 = 72km cách B là 48km
c ; Sau khi hai xe khởi hành được 1 giờ thì t = 1h ta có
![](https://rs.olm.vn/images/avt/0.png?1311)
Giải:
Chọn chiều dương là chiều chuyển động từ A đến B, gốc tọa độ tại A, gốc thời gian là lúc xe từ A xuất phát
a; Phương trình chuyển động có dạng x = x 0 + v t
Với xe một : x 01 = 0 ; v 1 = 60 k m / h ⇒ x 1 = 60 t
Với xe hai : x 02 = 120 k m ; v 2 = − 40 k m / h ⇒ x 2 = 120 − 40 t
b; Vi hai xe gặp nhau: x 1 = x 2 ⇒ 60 t = 120 − 40 t ⇒ t = 1 , 2 h
Toạ độ khi hai xe gặp nhau: x 1 = 60 . 1 , 2 = 72 k m cách B là 48km
c ; Sau khi hai xe khởi hành được 1 giờ thì t = 1h ta có
Đối với xe một : x 1 = 60.1 = 60 k m
Đối với xe hai : x 2 = 120 − 40.1 = 80 k m
⇒ Δ x = x 1 − x 2 = 20 k m
Sau 1h khoảng cách hai xe là 20km
d; Nếu xe A xuất phát trễ hơn nửa giờ: x 1 = 60 ( t − 0 , 5 )
Khi hai xe gặp nhau: x 1 = x 2
⇒ 60 ( t − 0 , 5 ) = 120 − 40 t ⇒ t = 1 , 5 h
![](https://rs.olm.vn/images/avt/0.png?1311)
Chọn đáp án B
Chọn mốc tọa độ tại A, chiều dương là chiều từ A ® B.
Phương trình chuyển động của xe thứ nhất là
\(Ox\equiv AB,O\equiv A,\) chieu (+) tu A->B, moc tgian luc 2xe xuat phat(coi 2 xe chuyen dong tu A->B)
(doan kia de chac sai phai la 10m/s vi 10km/s=36000km/h)
a,\(\Rightarrow\left\{{}\begin{matrix}xA=36t\\xB=50\left(t-1\right)\end{matrix}\right.\)\(\left(km,h\right)\)
gap nhau \(\Rightarrow xA=xB\Rightarrow t=3,57h\)
=>khoang cach tu thoi diem khoi hanh toi thoi diem gap nhau la \(\Delta S=36.3,57=128,57km\)
b,![](data:image/png;base64,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)
c,\(\Rightarrow d=\left|36.2-50\left(2-1\right)\right|=22km\)