Physics Question?

Question

A train moving with a constant velocity travels 180 m north in 12 s and an undetermined distance to the west. The speed of the train is 22 m/s.

How far west has the train traveled in this time?

Answer 1

when dealing with constant velocity, theres always only one equation that can be used:

"velocity=displacement/time" or some transposed version of that

so, for this, we first have to figure out the time it took for it to reach 180 metres so if its moving at 22 m/s, we divide 180 by 22 and we get some crazy fraction we'll just keep in fraction form, it equalsa ABOUT 8.18 seconds so now we know that 8.18 of those 12 seconds were spent moving north

with this, we can see that 3.82 seconds is how long it spent travelling west

so, now its easy to find by multiplying 22 m/s by 3.82s. solved, we find that it moved about 84.04 metres west.

now its a simple case of adding the already known 180 metres to the newly found 84.04 metres to find it moved about 264.04 metres in this time

Answer 2

At 22 m/s, the resultant of the north and west vectors is 264 m.
Then, the west vector is Vw, where
(264)^2 - 180^2 = Vw^2