How do we show motion on a graph ?

Homework help plz it would help a lot

blagie [28]

#82

here we know that

acceleration = 2 m/s/s

time = 5 s

initial speed = 4 m/s

now we can use kinematics to find the final speed

$v_f = v_i + at$

$v_f = 4 + 2(5)$

$v_f = 14 m/s$

So correct answer will be option D)

#83

here we know that

acceleration = 3 m/s/s

time = 4 s

initial speed = 5 m/s

now we can use kinematics to find the final speed

$v_f = v_i + at$

$v_f = 5 + 3(4)$

$v_f = 17 m/s$

So correct answer will be option C)

#84

here we know that

acceleration = 7 m/s/s

time = 3 s

initial speed = 8 m/s

now we can use kinematics to find the final speed

$v_f = v_i + at$

$v_f = 8 + 7(3)$

$v_f = 29 m/s$

So correct answer will be option C)

6 0

3 years ago

A skater goes into a spin with her arms pulled in (close to her body). When she stretches her arms out: A) her angular speed ω d

musickatia [10]

Answer:

When she stretches her arms out, B) her angular speed ω increases due to her moment of inertia decreasing

Explanation:

The angular momentum of a rotating object is defined as the product of its moment of inertia and angular speed.

L = I ω

where

L is the angular momentum
I is the moment of inertia
ω is the angular speed

According to the principle of conservation of angular momentum, if there is no external torque, angular momentum of the skater must remain conserved. If the initial and final moment of inertia is I_i and I_f while corresponding angular velocities are ω_i and ω_f , then the principle of conservation of angular momentum can be expressed as the following equation:

(I_f) (ω_f) = (I_i) (ω_i)

ω_f / ω_i = I_i / I_f

From the expression above, we can see that if the moment of inertia decreases, angular velocity would increase to conserve angular momentum of the skater.

Therefore, When she stretches her arms out, her angular speed ω increases due to her moment of inertia decreasing.

5 0

4 years ago

A large vessel of the diameter of 14 mm divides into two identical smaller vessels but the velocity of blood in

ycow [4]

Answer:

the diameter of the smaller vessels is 9.90 mm

Explanation:

The computation of the diameter of the smaller vessels is given below;

Given that

The larger vessel of the diameter is 14mm

So,

d1 = 7 mm

let us assume the diameter of the smaller artery is d2

Now we used the equation of continuity i.e.

v × pi × d1^2 = 2 × v × pi × d2^2

14^2 = 2 × d2^2

d2 = 9.90 mm

Hence, the diameter of the smaller vessels is 9.90 mm

5 0

3 years ago

The moons of Mars, Phobos (Fear) and Deimos (Terror), are very close to the planet compared to Earth's Moon. Their orbital radii

tankabanditka [31]

Answer:

$0.2528$

Explanation:

To calculate the period we need the formula:

$T=\frac{2\pi r^{3/2}}{\sqrt{GM}}$

Where $r$ is the radius of the moon, $G$ is the universal constant of gravitation and $M$ is the mass of mars.

The period of Phobos:

$T_{p}=\frac{2\pi r_{p}^{3/2}}{\sqrt{GM}}$

The period of Deimos:

$T_{D}=\frac{2\pi r_{D}^{3/2}}{\sqrt{GM}}$

The ratio of the period of Phobos and Deimos:

$\frac{T_{p}}{T_{D}}=\frac{\frac{2\pi r_{p}^{3/2}}{\sqrt{GM}}}{\frac{2\pi r_{D}^{3/2}}{\sqrt{GM}}}$

$\frac{T_{p}}{T_{D}}=\frac{\sqrt{GM}2\pi r_{p}^{3/2}}{\sqrt{GM}2\pi r_{D}^{3/2}}$

Most terms get canceled and we have:

$\frac{T_{p}}{T_{D}}=\frac{r_{p}^{3/2}}{r_{D}^{3/2}}$

According to the problem

$r_{p}=9,378km\\r_{D}=23,459km$

so the ratio will be:

$\frac{T_{p}}{T_{D}}=\frac{(9,378)^{3/2}}{(23,459)^{3/2}}=\frac{908166.22}{3593058.125}=0.25275$ ≈ $0.2528$

the ratio of the period of revolution of Phobos to that of Deimos is 0.2528

8 0

3 years ago

In your own words, describe the matter found in the universe and the relationship between stars, galaxies, and planets.

Darina [25.2K]

The universe is made up of baryonic matter which is a combination of protons, electrons, and neutrons, and also dark matter and dark energy.

Galaxies are comprised of stars, while the universe is comprised of galaxies.

I hope my answer has come to your help. God bless and have a nice day ahead!

6 0

4 years ago

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