The submarine is cruising at a depth of 50 meters, then dives 75 meters, then ascends (moves in the direction of the surface )60 meters, and then dives 45 meters. what is the submarine's final depth

Respuesta :

Interesting question... let's draw a picture.

50 m ----------
                     \              ----------------------------- \
    75 m down \           / 60 m up      45 m down ------
                        ---------

So what's going on?
Going 75 m deeper: 50 + 75
Coming up 60 m    : 50 + 75 - 60
Going 45 m deeper: 50 + 75 - 60 + 45

Final depth: 110 m
 

We want to find the final depth of the submarine given that we know its motions.

We will see that the final depth is 110 meters.

The initial position of the submarine is 50m below the surface, this can be represented as:

initial position = -50m

Then it dives (goes down) another 75 meters, then the new position is:

p = -50m - 75m = -125m

Then it goes up 60 meters, so the new position is:

p = -125m + 60m = -65m

Then it dives another 45 meters, so the final position is:

final position = -65m - 45m = -110m

We can conclude that the final depth is of 110 meters.

If you want to learn more, you can read:

https://brainly.com/question/2625773