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Công thức làm bài toán chuyển động ngược chiều

Công thức làm bài toán chuyển động ngược chiều - Công thức toán 5
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Hai vật chuyển động ngược chiều với vận tốc v1 và v2🤡, cùng thời điểm xuất phát và cách nhau quãng đường bằng s thì thời gian để chúng đi đến chỗ gặp nhau là:

t = s : (v1 + v2)

Ví dụ 1. 🌄Hai thành phố cách nhau 208,5 km, một xe máy đi từ thành phố A đến thành phố B với vận tốc là 38,6 km/h. Một ô tô khởi hành cùng một lúc với xe máy đi từ thành phố B đến thành phố A với vận tốc 44,8 km/h. 

a) Hỏi xe máy và ô tô gặp nhau lúc mấy giờ biết hai xe khởi hành lúc 8 giờ 30 phútb) Chỗ gặp nhau cách thành phố A bao nhiêu km?

Giải

Tổng vận tốc hai xe là:38,6 + 44,8 = 83,4 (km/giờ)Thời gian hai xe đi đến chỗ gặp nhau là:208,5 : 83,4 = 2,5 (giờ)Đổi: 2,5 giờ = 2 giờ 30 phútVậy hai xe gặp nhau lúc:8 giờ 30 phút + 2 giờ 30 phút = 11 giờChỗ gặp nhau cách thành phố A là:38,6 x 2,5 = 96,5 (km)

Đáp số: 11 giờ

            96,5 km

Ví dụ 2:🏅 Lúc 5 giờ sáng bạn Nam đi xe đạp từ A về B với vận tốc 12 km/giờ. Đến 8 giờ, bạn Việt đi xe đạp từ B về A với vận tốc 15 km/giờ. Hỏi 2 người gặp nhau lúc mấy giờ? Biết quãng đường AB dài 117 km. Địa điểm gặp nhau cách A bao nhiêu ki-lô-mét?

Giải

 

Thời gian bạn Nam đi trước là:8 – 5 = 3 (giờ)Sau 3 giờ bạn Nam đi được quãng đường là:12 x 3 = 36 (km)Khi đó, hai người còn cách nhau:117 – 36 = 81 (km)Thời gian hai bạn đi đến lúc gặp nhau là:81 : (12 + 15) = 3 (giờ)Thời điểm hai bạn gặp nhau là:8 + 3 = 11 (giờ)Địa điểm gặp nhau cách A số ki-lô-mét là:36 + 12 x 3 = 72 (km)Đáp số: 11 giờ             72 km
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