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3 years ago

Can someone help me?!!!!!

Physics

1 answer:

Zepler [3.9K]3 years ago

3 0

Answer:

93 m

Explanation:

We need to find the resultant displacement.

Let's take north as positive y-direction and east as positive direction. We have

- Displacement 1 is 51 m to the north, so the two components are

$x_1 =0\\y_1 = 51 m$

- Displacement 2 is 45 m $60^{\circ}$ north of east, so the two components are

$x_1 = (45)cos 60^{\circ}=22.5 m\\y_1 = (45) sin 60^{\circ}=39.0 m$

So to find the resultant displacement we have to sum the components along each direction:

$x=x_1 + x_2 = 0+22.5 m = 22.5 m\\y = y_1 + y_2 = 51 m +39.0 m = 90.0 m$

And the magnitude of the resultant displacement is

$m=\sqrt{x^2+y^2}=\sqrt{(22.5 m)^2+(90.0 m)^2}=92.8 m \sim 93 m$

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3 years ago

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