Beasy is driving in his car to take care of some errands. The first errand has him
driving to a coffee shop 2 km East and 6 km North of his starting location. Once he
completes that errand, he drives to a thrift store which is 4 km East of the first errand.
What is the displacement of the car from the starting point, rounded to the nearest
km?

Answers

Answer 1

At this point in the story, Beasy has driven his car (2+6+4) = 12 km.

He is parked at the thrift store, (2+4) = 6 km East and 6 km North of his starting point.

As the crow flies, the thrift store is √(6km² + 6km²) in a straight line from the starting point.

That's √(72 km²) , which works out to 8.485 km .  When rounded to the nearest whole km, he can phone up his wife and tell her he's "eight kilometers from home can you hear me now ?".

Displacement is a vector, so to answer the question completely, we also need to state its direction.

The angle from home to the thrift store, relative to East, is arctan(6km/6km).

That's 45 degrees.  

The full displacement vector is 8.485 km Northeast.

Answer 2

From the question, Beasy drives 2km East and 6 km North. He then drives 4 km East of the first errand. An illustrative diagram is shown in the attachment below.

From the diagram S is the starting starting point, C is coffee shop and T is the thrift store.

The displacement of the car from the starting point is giving by /TS/ in the diagram. To calculate /TS/, consider the right-angled triangle TSQ, /TS/ is the hypotenuse.

From The Pythagorean theorem, in a right-angled triangle, the square of the longest side (hypotenuse) equals sum of the squares of the other two sides.

That is,

/TS/² = /SQ/² + /TQ/²

But /TQ/ = /CP/ = 6km

and /SQ/ = /SP/ + /PQ/

/SP/ = 2 km, /PQ/ = 4 km

∴ /SQ/ = 2 km + 4 km

/SQ/ = 6 km

Hence,

/TS/² = 6² + 6²

/TS/² = 36 + 36

/TS/² = 72

/TS/ = [tex]\sqrt{72}[/tex]

/TS/ = 8.485 km

/TS/ ≅ 8 km ( to the nearest km)

Hence, the displacement of the car from the starting point rounded to the nearest km is 8 km.

Learn more about displacement here: https://brainly.com/question/19232260

Beasy Is Driving In His Car To Take Care Of Some Errands. The First Errand Has Himdriving To A Coffee

Related Questions

A person holding a lunch bag is moving upward in a hot air balloon at a constant speed of 7.7 m/s . When the balloon is 21 m above the ground, she accidentally releases the bag. Part A What is the speed of the bag just before it reaches the ground

Answers

Answer:

The speed of the bag just before it reaches the ground is 21.71 m/s.

Explanation:

The speed of the bag can be found using the following equation:

[tex] v_{f}^{2} = v_{0}^{2} - 2gy [/tex]

Where:

[tex]v_{f}[/tex] is the final speed =?

[tex]v_{0}[/tex] is the initial speed = 7.7 m/s

g: is the gravity = 9.81 m/s²

y: is the height = 21 m

[tex]v_{f}^{2} = v_{0}^{2} - 2gy = (7.7 m/s)^{2} - 2*9.81 m/s^{2}*(-21 m) = 471.31 m^{2}/s^{2}[/tex]

[tex]v_{f} = 21.71 m/s[/tex]

Therefore, the speed of the bag just before it reaches the ground is 21.71 m/s.

I hope it helps you!    

Which of the following element has seven total valence electrons? Your answer: argon helium oxygen bromine

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Answer:

bromine

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Answers

Answer:

I think when the balloon is heated up the gas will expand making the balloon bigger. When things are heated up the molecules will get excited and expand. When they balloon is cooled then the it will retract.

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3. A bus accelerates at 25 m/s/s. This allows the bus to speed up from 16 m/s to 172 m/s. How long
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Answer:

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Answers

Answer:

8 electrons in the third energy level

Explanation:

From the description,the third energy level has 8 electron (represented by the small green balls you describe)

Answer:

8

Explanation:

I gotcha fam

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The answer is system

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Answers

Answer: Please find the answer in the explanation

Explanation:

Under what circumstances does distance traveled equal magnitude of displacement?

When a body's motion is linear in one direction. Or a body moving in a straight line without turning back.

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Answers

Answer:

0 m/s or stationary

The seat in front of Lee appear to be at rest

Explanation:

When the motion of a person or object is found by comparing the person or objects motion with regards to a stationary object or an object in motion, the result is the relative motion of the person or object to the stationary or moving object

In the question, Lee is comparing the motion of the chair in front of him with regards to the motion of the chair he his sitting on.

The speed of both chairs are the same as the speed of the train in which they are attached.

Therefore, as the seats are fixed relative to each other such that there is no change in their relative position and therefore, no or 0 m/s relative velocity with each other.

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Answer:

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it is correct

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which of the following substances is a base? ammonia, distilled water, lemon juice, or vinegar

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The answer is Ammonia.

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The boat traveled 560km total.

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No it’s 1,130

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Answer:

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Answer:

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Explanation:

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Answers

Answer:

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Answers

Answer:

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Answers

Answer:

The object will sink in the liquid in beaker 1.

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Answers

Answer:

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Answers

Answer:

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Answers

Answer:

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A boat that moves with a constant velocity of 12 m/s is moving on a river with a
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Answers

Explanation:

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Velocity of current, [tex]v_c=4\ m/s[/tex]

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[tex]v_c=-4j\ m/s[/tex]

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Answers

Answer:

A. cell walls

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Pls help
Qn 9,10,11

Qn 11
Answers,
a) 10g/cm3
b) 20g/cm3
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Answers

Answer:

Q no. 9: a

Q no. 10: d

Q no. 11: b

A small metal sphere has a mass of 0.19 gg and a charge of -23.0 nCnC. It is 10.0 cmcm directly above an identical sphere that has the same charge. This lower sphere is fixed and cannot move. If the upper sphere is released, it will begin to fall.What is the magnitude of its initial acceleration?

Answers

Answer:

  a = -7.29 m / s²

Explanation:

For this exercise we must use Newton's second law,

          F -W = m a

Force is electrical force

         F = k q₁ q₂ / r²

         k q₁ q₂ / r² -mg = m a

indicate that the charge of the two spheres is equal

         q₁ = q₂ = q

         a = (k q² / r² - m g) / m

         a = k q² / m r² - g

Let's reduce the magnitudes to the SI system

        m = 0.19 g (1kg / 1000 g) = 1.9 10⁻⁴ kg

        q1 = q2 = q = -23.0 nC (1C / 10⁹ nC) = -23.0 10⁻⁹ C

        r = 10.0 cm (1m / 100cm) = 0.1000 m

let's calculate

        a = 9 10⁹ (23.0 10⁻⁹)² / (0.1000² 1.9 10⁻⁴) - 9.8

        a = -7.29 m / s²

The negative sign indicates that the direction of this acceleration is downward

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Answers

Answer:

Period = 0.0167 seconds

Frequency = 60 Hz

Explanation:

Period: This can be defined as the time take by a wave to complete on cycle. The S.I unit is (s)

Frequency: This is the number of cycle completed by a wave. The S.I unit is (Hz)

From the question,

T = t/n................................... Equation 1

Where T = period, t = time take to complete n oscillation, n = number of oscillation.

Given: t = 1 seconds, n = 60.

Substitute these values into equation 1

T = 1/60

T = 0.0167 seconds.

Also,

F = 1/T........................... Equation 2

Where F = frequency

Given: T = 0.0167 seconds,

Substitute these value into equation 2

F = 1/0.0167

F = 60 Hz

A football coach walks 18 meters westward, then 12 meters
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eastward.

Answers

Answer:

Displacement = 20

Direction = westward

Explanation:

Given that a football coach walks 18 meters westward, then 12 meterseastward, then 28 meters westward, and finally 14 meters

eastward.

To calculate the displacement,

Let eastward = negative

Westward = positive

Displacement = 18 - 12 + 28 - 14

Displacement = 46 - 26

displacement = 20 metre

Since the answer is positive, the direction is westward.

Question 3 (1 point)
Which of the following is a vector quantity?
a) 16.5 seconds
b) 18.5 m/s west
c) 25 m/s
d) 12 meters

Answers

Answer:

B) 18.5 m/

s west

Explanation:

Scalar quantity has MAGNITUDE only

Vector quantity has MAGNITUDE and DIRECTION

Hope this is correct and helpful

HAVE A GOOD DAY!

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