Дано:
υ = 36 км/ч = 10 м/с
t1 = 5 c
t2 = 25 c
t3 = 10 c
L - ?
Решение:
L = L1 + L2 + L3
L1 = at1²/2
υ = υ0 + at1; υ0 = 0 => υ = at1 => a = υ/t1
L1 = ((υ/t1)*t1²)/2 = υt1/2
L2 = υt2
L3 = υt3 - at3²/2
υ' = υ - at3; υ' = 0 => υ = at3 => a = υ/t3
L3 = υt3 - ((υ/t3)t3²)/2 = υt3 - υt3/2 = υt3/2
L = υt1/2 + υt2 + υt3/2 = υ*(t1/2 + t2 + t3/2) = 10*(5/2 + 25 + 10/2) = 10*(2,5 + 25 + 5) = 10*32,5 = 325 м
Ответ: 325 м.
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Answers & Comments
Дано:
υ = 36 км/ч = 10 м/с
t1 = 5 c
t2 = 25 c
t3 = 10 c
L - ?
Решение:
L = L1 + L2 + L3
L1 = at1²/2
υ = υ0 + at1; υ0 = 0 => υ = at1 => a = υ/t1
L1 = ((υ/t1)*t1²)/2 = υt1/2
L2 = υt2
L3 = υt3 - at3²/2
υ' = υ - at3; υ' = 0 => υ = at3 => a = υ/t3
L3 = υt3 - ((υ/t3)t3²)/2 = υt3 - υt3/2 = υt3/2
L = υt1/2 + υt2 + υt3/2 = υ*(t1/2 + t2 + t3/2) = 10*(5/2 + 25 + 10/2) = 10*(2,5 + 25 + 5) = 10*32,5 = 325 м
Ответ: 325 м.