Please helpa car is driven 200 km west and then 80 km southwest. what is the displacement of the car from the point of orgin (magnitude and direction)? draw a diagram.

Answers

Answer 1

Answer:

Let's take east and west to be positive and negative, respectively, and north and south to be positive and negative, respectively. Then in terms of vectors (using ijk notation), the car first moves 200 km west,

r = (-200 km) j

then 80 km southwest,

s = (-80/√2 km) i + (-80/√2 km) j

so that its total displacement is

r + s = (-80/√2 km) i + ((-200 - 80/√2) km) j

r + s ≈ (-56.6 km) i + (-256.6 km) j

This vector has magnitude

√((-56.6 km)² + (-256.6 km)²) ≈ 262.7 km

and direction θ such that

tan(θ) = (-256.6 km) / (-56.6 km) ==> θ ≈ -102.4º

relative to east, or about 12.4º west of south.

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A baseball is thrown horizontally with a velocity of 44 m/s. It travels a horizontal distance of 18m to the plate before it is caught. How long does the ball stay in the air?

A.0.41 sec
B.41 sec
C.4.1 sec
D.4 sec

Answers

A horizontal baseball pitch is launched at 44 m/s. The ball will stay for 4.1 sec (approx) in the air. Hence, option C is correct.

What is Velocity?

The rate at which an object's position changes when observed from a specific point of view and when measured against a specific unit of time is known as its velocity.

Its SI unit is represented as m/s, and it is a vector quantity, it means that it has both magnitude and direction.

According to the question, the given values are :

Initial Velocity, u = 44 m/s,

Distance travelled, s = 18 m and,

Final velocity, v = 0.

Use equation of motion :

v = u + at

0 = 44 + (-9.8)t

t = 44 / 9.8

t = 4.3 (approx)

Hence, the time for which the ball stay in the air is 4.1 sec (approx).

To get more information about velocity :

brainly.com/question/13372043

#SPJ2

Answer:

a 0.41

plug number into equation

What is it called when a Rock forms due to heat and pressure in the earth?

Answers

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Question 3 of 10Which of the following is an example of revolution?
O A. The Moon spinning on its axis
O B. The Sun spinning on its axis
C. Earth orbiting the Sun
D. A ballet dancer spinning in place

Answers

Answer:

Option C

Explanation:

Revolution: When an object moves around another object it is called revolution.

Rotation: When an object spins around its axis it's called rotation

Answer:C

Explanation:

Good luck!

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Answers

Answer:

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Explanation:

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Hence, the given statement is true.

True. Lunar eclipses only happen when there is a full moon.

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Answers

Answer:

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Explanation:

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v = dx/dt

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The function written in the equation is the derivative with respect to time

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