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andrewpjryan871
20.09.2019 •
Physics
Atrain pulls away from a station with a constant acceleration of 0.42 m/s2. a passenger arrives at a point next to the track 6.4 s after the end of the train has passed the very same point. what is the slowest constant speed at which she can run and still catch the train?
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Ответ:
2.69 m/s
Explanation:
Hi!
First lets find the position of the train as a function of time as seen by the passenger when he arrives to the train station. For this state, the train is at a position x0 given by:
x0 = (1/2)(0.42m/s^2)*(6.4s)^2 = 8.6016 m
So, the position as a function of time is:
xT(t)=(1/2)(0.42m/s^2)t^2 + x0 = (1/2)(0.42m/s^2)t^2 + 8.6016 m
Now, if the passanger is moving at a constant velocity of V, his position as a fucntion of time is given by:
xP(t)=V*t
In order for the passenger to catch the train
xP(t)=xT(t)
(1/2)(0.42m/s^2)t^2 + 8.6016 m = V*t
To solve this equation for t we make use of the quadratic formula, which has real solutions whenever its determinat is grater than zero:
0≤ b^2-4*a*c = V^2 - 4 * ((1/2)(0.42m/s^2)) * 8.6016 m =V^2 - 7.22534(m/s)^2
This equation give us the minimum velocity the passenger must have in order to catch the train:
V^2 - 7.22534(m/s)^2 = 0
V^2 = 7.22534(m/s)^2
V = 2.6879 m/s
Ответ:
10 m/s
Explanation:
m1 v1i + m2 v2i = (m1+m2) vf
(700kg) (30m/s) + (1400kg) (0m/s) = (700 + 1400)kg * vf
vf = 10 m/s
Leave a like and mark brainliest if this helped
Leave a like and mark brainliest if this helped