Calculation: a train passes through a 1800m long tunnel at a uniform speed of 20m / s. It is measured that the time required for the train to completely pass through the tunnel is 108s. Calculate: (1) What is the length of the train? (2) How long did the train run in the tunnel?

Calculation: a train passes through a 1800m long tunnel at a uniform speed of 20m / s. It is measured that the time required for the train to completely pass through the tunnel is 108s. Calculate: (1) What is the length of the train? (2) How long did the train run in the tunnel?

(1) The distance the train travels completely through the tunnel:
Because the speed v = 20m / s, t = 108s
So s = VT = 20m / S × 108s=2160m
Tunnel s = 1800m
Therefore, s car = S-S tunnel = 2160m-1800m = 360m;
(2) The total distance of the train running in the tunnel:
S1 ^ l tunnel - L car = 1800m-360m = 1440m,
Time T1 = S1 for all trains running in the tunnel
v=1440m
20m/s=72s.
So the answer is: (1) the length of the train is 360m;
(2) The running time of all trains in the tunnel is 72s

A 360m long train passes through a 1800m long tunnel at a constant speed. It is measured that it takes 108s for the train to pass through the tunnel completely The running speed of the train (unit: M / s), how many km / h, (1800 + 360) / 108 = 20 m / S Why count the conductor of the train?

20m/s=72Km/h
When the locomotive enters the tunnel and the tail of the train leaves, the distance from the locomotive to the tunnel exit is equal to the length of the train

Are the two important limits also true for inverse trigonometric functions There is a question, arcsin of the root sign (x * (1 -- x)), the root sign x, X tends to be positive 0 to find the limit, how does this get = 1

Arcsin radical x is 1 / (2 radical (x (1-x)) after derivation
Derivation of root sign (x * (1 -- x)) = (1-2x) / (2 root signs (x (1-x))
Arcsin root x derivation / root (x * (1 -- x)) derivation = 1 / (1-2x)
When x tends to 0, it tends to 1

High school inverse trigonometric function questions: Known α、β Is x ^ 2-xsin θ+ cos θ The two roots of, α>β, 0

This problem may be a little difficult for you
Start with arctan α+ arctan β Take the derivative and then integrate. The reason is θ Is the only parameter, and Tan cannot be expressed in the title at all α And Tan β.
Derivative: 1 / (1)+ α^ 2)+1/(1+ β^ 2) =... (triangular resolution process, α+β= sin θ,αβ= cos θ)= 3/2+1/2cos θ
Re integration: = (3 / 2) θ+ 1/2sin θ The upper limit is π, the lower limit is 0, and the result is 3 / 2 π

Inverse trigonometric function Use the form of inverse trigonometric function to express the X of the following expressions SinX=1/7 ,X∈[π/2,π] Please explain again that the definition fields are x ∈ [π / 2, π] and X ∈ [- π / 2, π / 2] What's the difference,

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Thus 0

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Equal to 2-pi