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Levart [38]
3 years ago
5

A radar station locates a sinking ship at range 17.3 km and bearing 136° clockwise from north. From the same station, a rescue p

lane is at horizontal range 19.6 km, 153° clockwise from north, with elevation 2.20 km.
a) Write the position vector for the ship relative to the plane, letting represent east, north, and up.
b) How far apart are the plane and ship?
Physics
1 answer:
amid [387]3 years ago
4 0

Answer:2.2 km

Explanation:

Given

Position of ship with respect to station is \vec{r_1}

considering east to be positive and west to be negative x axis

North as positive y axis

\vec{r_1}=17.3cos(-46)\hat{i}+17.3sin(-46)\hat{j}

\vec{r_1}=12.017\hat{i}-12.44\hat{j}

Position vector of Plane \vec{r_2}

\vec{r_2}=19.6cos(-63)\hat{i}+19.6sin(-63)\hat{j}+2.2\hat{k}

\vec{r_2}=12.017\hat{i}-12.44\hat{j}+2.2\hat{k}

Position vector of ship relative to the plane

\vec{r_{12}}= \vec{r_1}- \vec{r_2}

\vec{r_{12}}= 12.017\hat{i}-12.44\hat{j}-12.017\hat{i}+12.44\hat{j}-2.2\hat{k}

\vec{r_{12}}=-2.2\hat{k}

Distance between Plane and Ship is 2.2

as they vertically separated by 2.2 km

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frez [133]

Their average velocity is 0.98 m/s east.

Explanation:

The average velocity of an object is defined as the ratio between the displacement and the time taken:

v=\frac{displacement}{time}

The displacement is a vector connecting the initial point to the final point of motion: so, being displacement a vector, velocity is a vector as well, having the same direction of displacement.

Here, Heather and Matt walk 2.0 km eastward, so their displacement is

d = 2.0 km = 2000 m (east)

While the time they took is

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Therefore, their average velocity is

v=\frac{2000}{2040}=0.98 m/s

And the direction is the same as the displacement (east).

Learn more about average velocity:

brainly.com/question/5248528

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iogann1982 [59]

Answer:

Yes

Explanation:

A body can possess velocity at the same time in horizontal and vertical direction

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Gennadij [26K]
Your answer would be 75 meters
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madam [21]

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From Newton's law of inertia, an object at rest will remain at rest unless it is acted upon by an external force. The reason the object will remain at rest unless an external force acts is because of inertia. Inertia means the resistance of an object to motion.

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