Ilya and Anya each can run at a speed of 7.50 mph and walk at a speed of 3.50 mph . They set off together on a route of length 5.00 miles . Anya walks half of the distance and runs the other half, while Ilya walks half of the time and runs the other half.
- Find Anya's average speed. (express in miles per hour)
- How long does it take Ilya to cover the distance? (express in minutes)
- Now find Ilya's average speed. (express in miles per hour)

The conservation of mass and energy just means that they can't be destroyed, only changed into other forms. For example, when we burn something, the matter isn't going away. It is just changing into heat and light energy. After any chemical reaction, the amount of matter and energy will stay the same.

The time taken for the ball to hit the ground is 1.77 s

From the questionn give above, the following data were obtained:

The time taken for the ball to fall to the ground can be obtained as follow:

h = ½gt²

15.3 = ½ × 9.8 × t²

15.3 = 4.9 × t²

Divide both side by 4.9

t² = 15.3 / 4.9

Take the square root of both side

t = √(15.3 / 4.9)

t = 1.77 s

Thus, we can conclude that: it will take the ball 1.77 s to fall to the ground.

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The early phases of undertaking an epidemiological, clinical, or lab study include calculating the sample size. There are ethical and methodological guidelines that should be followed when creating a scientific publication.

When it comes to making clinical judgments, two studies that used the same approach and produced equal results but had different sample sizes could provide the researcher with different information. Therefore, contrary to popular belief, samples should not be too tiny or too large in the perfect world. The primary effects of the sample size on study interpretation will be covered in this paper using clinical terminology. Although it can appear at first glance that methodological difficulties are the most important thing, particularly to clinicians.

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Answer:

Fire is in plasma physical state. It contains both gaseous and moist fluidy substances.

[tex].[/tex]

Answer:

Both gas state and liquid state or vapor (plasma overall)

A free-falling item is one that is falling solely as a result of gravity, as was discovered in the previous section of this course. A free-falling object experiences a downward acceleration of 9.8 m/s/s (on Earth).

Its acceleration due to gravity is the acceleration that an object experiences as a result of gravitational force. M/s2 is its SI unit. Gravitational acceleration is a vector, meaning it has a magnitude and a direction. The universal gravitational constant, G, is unaffected by the type of particle, the medium separating the particles, or the passage of time. Because its value is consistent throughout the cosmos, it is referred to as "universal."

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The average velocity of the electron over the entire time interval is 1.182 x 10⁷ m/s.

The average speed of the electron over the entire time interval is  6.454 x 10⁷ m/s.

The average velocity of an object is the change in the displacement of the object with time.

average velocity = total displacement / total time of motion

average velocity = (final position - initial position)/total time

average velocity = (2.39 m - 1.65)/(2.89 x 10⁻⁸  +  3.37 x 10⁻⁸)

average velocity = 1.182 x 10⁷ m/s

The average speed of an object is ratio of total distance to total time of motion of the object.

average speed =  (2.39 m + 1.65 m)/(2.89 x 10⁻⁸  +  3.37 x 10⁻⁸)

average speed = 6.454 x 10⁷ m/s

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Explanation:

[tex]{ \rm{ \vec{B}} = \frac{ \mu_{0}N}{l} } \\ [/tex]

N is number of turns

l is conductor length

mu_0 is permeability

[tex]{ \boxed{ \tt{ \mu_{0} = 4\pi \times {10}^{ - 7} }}}[/tex]

#include <stdio.h>

int main()

{

const int LENGTH = 10;

const int WIDTH = 5;

const char NEWLINE = '\n';

int area;

area = LENGTH * WIDTH;

printf("value of area : %d", area);

printf("%c", NEWLINE);

return 0;

}

Answer:

3ft/s²

Explanation:

[tex]a = \frac{60 - 45}{5} = 3ft \div {s}^{2} [/tex]

Answer:

[tex]{ \tt{X( \omega) = x(t)}}[/tex]

One must drive at a speed of 62.5 miles per hour to reach the theatre at time.

Time movie starts in: 40 minutes

Time taken to drive to friend's house: 10 minutes

Time taken to drive to the theatre from friend's house:  15 minutes

Speed = 40 miles per hour

Using the formula to find the distance:

Speed = Distance/Time

40 = Distance/(15/60)

40*0.25 = Distance

10 miles is the distance from the friend's house to the theatre

Now, time taken by friends while playing games = 20 minutes

Time remaining = 40 - 10 - 20 = 10 minutes

The distance required to be covered in 10 minutes is 10 miles

Therefore, using the formula we get:

Speed = 10/(10/60)

Speed = 62.5 miles per hour

Hence, one should drive at a speed of 62.5 miles per hour to reach the theatre on time

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Answer:Visual Merchandising is the practice in the retail industry of optimizing the presentation of product and services to better highlight their features and benefits. The purpose of such visual merchandising is to attract, engage, and motivate the customer towards making a purchase

Explanation:

u welcome

Answer: Airbag

Explanation:

Provides safety to passengers during a collision.

Answer: F=400 N

Explanation:

F=ma ==> F=force, m=mass, a=acceleration

F=100*4

F=400 N

The charge is obtained as 5.35 * 10^-9 C.

The electric filed is defined as the region in space where the influence of a charge is felt. In this case, we know that the magnitude of the electric charge has been given to be 4.70 N/C and the distance is 3.20 m.

Let us recall that;

E = Kq/r^2

K = electric field constant

q = magnitude of charge

r = distance of separation

E = Kq/r^2

Er^2 = Kq

q = Er^2/K

q =  4.70 N/C * (3.20 m)^2/9.0 * 10^9

q = 5.35 * 10^-9 C

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Adding base ions to a solution will make the solution more basic.

When base ions are added it indicates adding OH⁻ ions, which will increase the pH of the solution and hence free H⁺⁺ ions will be decreased which leads to the increase in basicity of the solution.

pH is a logarithmic measure of the concentration of hydrogen ions in an aqueous solution.

Therefore if the base ions are added to the solution, pH of the solution will increase and hence it will become more basic.

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Answer:

Approximately [tex]10410\; {\rm N}[/tex] (assuming that [tex]g = 9.81\; {\rm m \cdot s^{-2}}[/tex].)

Explanation:

There are two forces on this car:

The net force on this car would be:

[tex](\text{net force}) = (\text{tension}) - (\text{weight})[/tex].

Rearrange to obtain:

[tex](\text{tension}) &= (\text{net force}) + (\text{weight})[/tex].

Let the mass of this car be [tex]m[/tex]. The weight of the car would be [tex]m\, g[/tex].

If the acceleration of the car is [tex]a[/tex], the net force on this car would be [tex]m\, a[/tex].

Thus:

[tex]\begin{aligned}(\text{tension}) &= (\text{net force}) + (\text{weight}) \\ &= m\, a + m\, g \\ &= (m)\, (a + g) \\ &= (1000\; {\rm kg}) \, (0.60\; {\rm m \cdot s^{-2}} + 9.81\; {\rm m\cdot s^{-2}}) \\ &\approx 10410\; {\rm N}\end{aligned}[/tex].

The vertical distance with which the ball clears the crossbar is given by x= 1.34m

We are given in the question that the distance between the kicking point of football and the goal is 54m (59.0544 yd), Height of crossbar is 3.05m, Speed of the ball when it leaves the ground is 26m/s at an angle of 32.6° from horizontal and the acceleration due to gravity is 9.8 m/s².

The ball will follow projectile motion when kicked and the equation for finding time in a projectile motion is given by:

t = d/vcosθ

=> t = 54/(26×cos32.6°)

=> t = 2.5 s

Now newton's second equation of motion for finding distance in y direction is given by:

S= ut - 1/2(at²)

S=(26sin32.6°)2.5 - 1/2(9.8×2.5²)

S= 4.39m

Therefore, the vertical distance with which the ball clears the crossbar is given by x= 4.39 - 3.05 = 1.34m

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Answer:

maximum height,h=31.25m

Explanation:

when an object is thrown vertically upward, v=0.

using the formula, v²= u²+2gh.

since the object is thrown upwards, g= -10m/s

v²=u²-2gh

0²=25²- 2×10×h

0=625-20h

20h = 625

h=31.25m

If a hydraulic catapult propels the car to the top of the ride, at a height of 405 ft. If the car and occupants weigh 1188 lb, then the potential energy of the loaded car at the top would be 652542.68 Joules.

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.

As given in the problem, for the roller coaster, a hydraulic catapult propels the car to the top of the ride, at a height of 405 ft. If the car and occupants weigh 1188 lb,

1 lb = 0.4536 Kg

1188 lb = 1188× 0.4536 Kg

           =538.87 Kilograms

1 ft = 0.3048 meters

405 ft = 405×0.3048 meters

          =123.44 meters

The potential energy of the loaded car at the top = mgh

                                                                                   =538.87×9.81×123.44

                                                                                   =652542.68 Joules

Thus, the potential energy of the loaded car would be 652542.68 Joules.

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A bicycle with 26-inch diameter wheels is traveling at 20 mi/h. Find the angular speed of the wheels in rad/min.

______radians per minute

___revolutions per minuteω =  1320 rad/min, Revolution per minutes = 210.084

Diameter = 24 in

Radius r = 24/2 in = 12 in = 12 × 2.54 cm = 30.48‬ cm = 0.3048 m

Linear Speed v= 15 mi/hr = 15 * 1609.34 / 3600 m/s = 6.7056 m/s

Angular Speed ω = v / r = (6.7056 m/s) / (0.3048 m) = 21.999945

ω =  22 rad/s = 22× 60 rad/min = 1320 rad/min

∴ 1 revolution = 2π rad

⇒1 rad = 1 / 2π rev

so 1320 rad/min = 1320 / 2π  rev/min = 210.0845 rev/min

Revolution per minutes = 210.0845

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The average force exerted by seatbelts on the passenger is 1493.3N.

initial velocity of the car, u = 96km/h

time taken by the car, s = 5.0 sec

final velocity of the after coming to rest, v = 0

mass of the passenger, m = 56 kg

to find out the acceleration of the car we use equation of motion

v = u+ at

0 = 96km/h + ax 5s

a = - 96 x 18/5x5

a = -26.6m/s²

The deceleration of the car is 26.6 m/s²

The force exerted on the passenger by the backward action of the car is calculated as

F = ma

where

m is mass

a is acceleration

F = 56 x 26.6

F = 1493.3 N

Therefore, the average force exerted by seatbelts on the passenger is 1493.3N.

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The correct answer 12.611 mph.

Cyclist traveling in a northwest direction at a speed of 16 mph. (Directed 45 degrees from the North)

Cycling speed is therefore 16 sin (45 o) in the direction of the north and 16 cos (45)  in the direction of the west

Let's assume that this is located on a cartesian plane. Let the positive Y-axis be north and the positive X-axis be east.

Speed = [tex]V_c[/tex] = (-16/√2 i + 16/√2 j) mph

In relation to a cyclist, the wind speed is = [tex]V_{cw[/tex] = 17 i mph

Let, V_w thus,

[tex]V_{cw = V_w - V_c[/tex]

[tex]V_w = V_{cw + V_c[/tex]

[tex]V_w[/tex] = 17i +  (-16/√2 i + 16/√2 j)

[tex]V_w[/tex] = (17 - 16/√2) i + 16/√2 j

[tex]V_w[/tex] = 5.6 i + 11.3 j

| [tex]V_w[/tex]| = 12.611

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Answer:

0

Explanation:

it takes 84 years for Uranus to orbit the Sun. It only takes 12 years for Jupiter to orbit the Sun. So technically by the time that Jupiter finishes it's one, Uranus will not be able to even finish half of its orbit.

Explanation:

The maximum height  above the point of contact with the bat that the ball would reach would be  88.72 meters

It is the movement of any item or body when it is launched from the the earth's surface and follows any curving course while being affected by the gravitational pull of the planet.

The maximum height of the projectile motion is given by,

Maximum height = v² sin²θ / 2 g

                            =45² sin² 68/ 2 *9.81

                            =88.72 meters

Thus, the maximum height the ball would reach would be 88.72 meters

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The volume of the rock, given the data is 14 mL (Option A)

From the question given above, the following data were obtained:

The volume of the rock can be obtained by calculating the displacement of the water when the rock was added. this can be obtained as follow:

Displacement of water = (Volume of water + rock) - (volume of water)

Displacement of water = 34 - 20

Displacement of water = 14 mL

Thus, the volume of the rock is 14 mL

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Complete question:

See attached photo

The age of the sample will be 11460 years.

The half-life of C-14 = 5730 years.

The half- life time is the time taken by the object to attain its position till the half of its initial value.

i.e after 5730 years only half of the C-14 carbon will exists.

To retain one-fourth of the sample, another cycle of 5730 years is required.

This means 2 half-lives should have passed to retain one-fourth of the sample.

so to calculate it's age

[tex]\frac{t}{\frac{t}{\frac{1}{2} } }[/tex] = 2

where t = the age of the sample

with t(1/2) = the half-life time of the sample = 5470 years

2 = the number of half- lives passed

therefore

[tex]\frac{t}{5730}[/tex] = 2

t = 2*5730 = 11460 years

When only one-fourth of the sample will remain, the age of the sample will be 11460 years

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The magnitude of resultant vector R = A + B is 12.23 if the act at 140° to each other.

We know that,

A + B = √ ( A² + B² + 2AB cos θ )

Given that,

A = 16.2

B = 6

θ = 140°

A + B = √ ( 16.2² + 6² + ( 2 * 16.2 * 6 * cos 140° ) )

R = √ ( 262.44 + 36 - 148.91 )

R = √ 149.52

R = 12.23

The magnitude of a vector is the numeric value of a vector. It gives the individual values vectors along x, y and z axis.

Therefore, the magnitude of resultant vector is 12.23

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The applied force needed to lift both buckets up is 71 N.

The net force applied on the buckets is calculated as follows;

F(net) = F(T) + (-Fg)

where;

Substitute the given parameters and solve for the net force on the bucket.

F(net) = 60 N - (5 x 9.8)

F(net) = 60 N - 49 N

F(net) = 11 N

The force needed to lift the bucket = F(net) + F(T)

F(app) = 11 N + 60 N

F(app) = 71 N

Thus, the applied force needed to lift both buckets up is 71 N.

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