reach a top speed of 114 km/h (71 mi/h). While chasing its prey in a short sprint, a cheetah starts from rest and runs 47 m in a straight line, reaching a final speed of 78 km/h.

(a) Determine the cheetah's average acceleration during the short sprint. m/s²

(b) Find its displacement at t = 3.1 s. (Assume the cheetah maintains a constant acceleration throughout the sprint.)

It takes less effort to lift a piano with a pulley. If the piano is lifted 3 meters, then the distance traveled by the load is 3 m.

Output force is the force exerted on an object by a simple machine.

If the output force is greater than the input force, the mechanical advantage is greater than 1.

The mechanical advantage ratio is output force divided by input force. The larger the mechanical advantage, the easier it is to do work.

Mathematically, the output force of a simple machine is given as;

output force = load x distance moved by load

Thus, it takes less effort to lift a piano with a pulley. If the piano is lifted 3 meters, then the distance traveled by the load is 3 m.

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Answer:

A

Explanation:

When switches 1 and 2 are 'on'   or 'closed'   the circuit becomes a short

The number of people you will stack to reach the top of the CN Tower (553 m) is 316 people

We'll begin by converting 175 cm to m. This can be obtained as illustrated below:

100 cm = 1 m

Therefore,

175 cm = (175 cm × 1 m) / 100 cm

175 cm = 1.75 m

Thus, 175 cm is equivalent to 1.75 m

The number of people needed to be stacked to get to the top of the CN tower can be o btained asfollow:

Number of people needed = Height of tower / height of a person

Number of people needed = 553 / 1.75

Number of people needed = 316 people

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Answer: Hot weather concreting

Liquid nitrogen has also been used as a method for cooling concrete for over twenty years. ...

LN is produced by compressing and cooling nitrogen gas to a point below its evaporation point of about − 196 °C [− 320 °F].

Explanation:

The correct answer is 0.91 m/[tex]s^2[/tex].

The pace at which a body increases its velocity is what is meant by the phrase "acceleration." It always moves in the same direction as the body when it moves.

The acceleration of an object is equal to the net force exerted on it divided by its mass, or a = F m, in accordance with Newton's second rule of motion. When the mass of an item and the net force acting on it are known, the acceleration of that object can be determined using this equation for acceleration.

Force F = 75 ponds = 33.62 N

initial velocity y =0

mass m = 25 slungs = 364.848 kg

time t = 12s

Acceleration of the body,

Acceleration = F/m

Acceleration = 333.62/364.848

Acceleration = 0.91 m/[tex]s^2[/tex]

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Answer:

225 km north

Explanation:

Displacement = 350 km north + 125 km south

= 350 km north - 125 km north

= 225 km north

Answer:

2

Explanation:

answer to the question is written up

The technique that is used to check the meaning of certain nonverbal behaviors of the speaker is looking away. The correct option is 4.

Nonverbal communication refers to the transmission of messages or signals via nonverbal platforms such as eye contact, facial expressions, gestures, posture, and body language.

It entails using social cues, kinesics, distance and physical environments/appearance, voice, and touch.

Nonverbal communication methods include your posture, facial expressions, and eye contact. We all use these cues in everyday conversation, even if unconsciously.

When people are thinking, hesitating, or speaking in a non-fluent manner, they tend to look away.

This behavior most likely serves two purposes. The first is to psychologically protect themselves from the embarrassment of being judged for not proceeding.

Thus, the correct option is 4.

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The term is scattering of lights when visible light interacts with transparent glass.

Light interacts with glass atoms when it strikes any surface, even transparent ones, causing it to change direction repeatedly. This process is known as the scattering of light. While some light is reflected throughout the process, the majority of light passes through the glass.

The shorter the wavelength and the higher the frequency, the stronger the scattering due to the wave shape of the lines and their intersections with the particles. The more wavy lines you have, the more likely they are to intersect with a particle. On the other hand, the longer the wave, the lower the frequency, the straighter it is, and the less likely it is to hit the particle.

The curvature of color light is visible during the day because of the refraction of light and total internal reflection. Waves of sunlight produce different colors in different directions. The Rayleigh scattering theory is based on the red color of the sun in the morning and the blue color of the sky.

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The plasma exists in the condition of the excited state of matter.

The atmosphere stops being made of gas at a height of about 80 kilometers above the surface of the Earth. Instead, it is composed of ionized gas, which has a balanced ratio of neutral particles, positive ions, and electrons. The name of this state is plasma.

Despite being referred to as the "fourth state of matter," many astrophysicists believe it to be the "first" state because it was the first to form right after the Big Bang.

Energy is required to remove electrons from atoms in order to create plasma. Different types of energy, such as heat, electricity, or light, are possible (ultraviolet light or intense visible light from a laser). Plasmas combine back into neutral gas due to insufficient sustaining power.

Therefore the plasma state of matter exist in energized form and required energy to continue existing which can be provided by many source and form of energy.

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Answer:

Explanation:

Answer:

II and III only

Explanation:

All III of those are true

The water cycle follows the conservation of mass because just like matter, it changes its state but not destroyed.

Conservation of mass follows a rule which states that mass is neither created nor destroyed in chemical reactions. This simply means that for every chemical reaction, the mass of an element as a reactant will be the same at the end of the reaction.

From the given image, it can be observed that water can change its state from solid, liquid or gas in various phase transitions. These include the following:

Therefore, the water cycle follows the conservation of mass because just like matter, it changes its state but not destroyed.

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Answer:

The water cycle follows the conservation of mass because just like matter, it changes its state but not destroyed..

Explanation:

If object is changing its direction or speed of the object is changing then the object is said to be accelerating

Acceleration, rate at which velocity changes with time, in terms of both speed and direction. A point or an object moving in a straight line is accelerated if it speeds up or slows down. Motion on a circle is accelerated even if the speed is constant, because the direction is continually changing.

If an object is changing its velocity -whether the velocity is changing by a constant amount or by a varying amount  a constant amount - then it is an accelerating object.

Since, acceleration is a vector quantity and vector quantity have both magnitude and direction , this implies that if the body is changing its direction then also the object is said to be accelerating.

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The particles of helium that were in the balloon will spread out evenly within the room.

When Sami pops a helium balloon at a birthday party then the particles of helium will just mix with air. The helium gases lighter dense than the air.

Air consists mostly of nitrogen and oxygen but there are also some traces of carbon dioxide  and noble gases in air, and helium is one of those noble gases.

Helium -

The particles of helium that were in the balloon will spread out evenly within the room.

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Which of the following must happen in order for atoms to bond either ionically or covalently with one another?

a: The valence shells of all atoms must be filled after the bonding occurs

In order for atoms  to bond either ionically or covalently with one another the  valence shells of all atoms must be filled after the bonding occurs.

An atom is defined as the smallest unit of matter which forms an element. Every form of matter whether solid,liquid , gas consists of atoms . Each atom has a nucleus which is composed of protons and neutrons and shells in which the electrons revolve.

The protons are positively charged and neutrons are neutral and hence the nucleus is positively charged. The electrons which revolve around the nucleus are negatively charged and hence the atom as a whole is neutral and stable due to presence of oppositely charged particles.

Atoms of the same element are similar as they have number of sub- atomic particles which on combination do not alter the chemical properties of the substances.

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The frequency of the radiation is 3.27×10⁻¹⁴ Hz.

The frequency of a wave is the number of complete oscillation made by that wave in one seconds. The S.I unit of frequency is Hertz

To calculate the frequency of the radiation, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the frequency of the radiation is 3.27×10⁻¹⁴ Hz.

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Answer: milliliters

Explanation:

centimeters and kilometers are measurements of length/distance. Kilogram is a measurement of weight, and millimeters is a measure of how much space an object takes up.

Answer:

V = a * t         for uniform values

t = V / a = 10 m/s / (5 m/s^2) = 2 sec

The depth of water in the tank is determined as 16.2 m.

Hydrostatic pressure is the pressure exerted by a fluid at equilibrium at any point of time due to the force of gravity.

The hydrostatic pressure of the water column is calculated as follows;

P = ρgh

where;

h = P/ρg

The given parameters;

h = (158579) / (1000 x 9.8)

h = 16.2 m

Thus, the depth of water in the tank is determined as 16.2 m.

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Theacceleration of gravity is 9.8m/s²  so velocity = 5.269.

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.

A body or item will have a pressure equivalent to atmospheric pressure when the external pressure pressing on it ceases to exist. In this instance, point A is under some pressure from the liquid. The pressure at point A becomes equal to atmospheric pressure when we tilt the container.

Given, h= 30.1 m

x = 13.06 m

g = 9.8

h = 1/2 gt^2

x = v √(2h)/g

13.06 = v √(2)(30.1)/9.8

13.06 = v (2.47847879613)

13.06 / 2.47847879613 = v

v = 5.269.

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Answer:

See below

Explanation:

Downward force = weight = mg   where g = accel of gravity  9.81 m/s ^2

the tension force acting UPWARD to cause the elevator to accelerate upward is  F = T=m(a+g)   where ' a ' is the UPWARD acceleration ...the tension must be equal to

   the weight of the object + mass of object* acceleration

Answer:

yes

Explanation:

because if you put a hot object in a cold place the energy from the hot object transfers to the cold air around it and will eventually get such a low temperature that it freezes.

Answer:

I think it's initial vertical velocity but I may be wrong

The maximum height achieved by the projectile shot at an angle of 26° with the horizontal is 155.79 meters.

What is Projectile Motion?

Projectile motion is a form of motion experienced by an object or particle that is projected near earth's surface and moves along a curved path under the action of gravity only.

Given is a projectile projected towards a target a distance 1270 m away. Initial velocity of the projectile is 125.6 m/s and makes an angle 26° with the horizontal.

The vertical component of the initial velocity →

u[y] = 125.6 sin(26°) = 125.6 x 0.44 = 55.26 m/s.

The horizontal component of the initial velocity →

u[x] = 125.6 cos(26°) = 125.6 x 0.89 = 111.78 m/s

Horizontal distance covered →

h[x] = 1270 m

Time taken to travel the horizontal range →

t = h[x] / u[x]

t = 1270 / 111.78 = 11.36 seconds

The time at which the height is maximum →

t [max] = 11.36/2 = 5.68 s

Using Newton's second law of motion for vertical direction -

S[y] = u[y] t + 1/2 a[y] t²

At t = t [max], the vertical height will be maximum -

S[y] (max) = 55.26 x 5.68 - 1/2 x 9.8 x 5.68 x 5.8 =

S[y] (max) = 313.87 - 158.08

S[y] (max) = 155.79 meters.

Hence, the maximum height achieved by the projectile shot at an angle of 26° with the horizontal is 155.79 meters.

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The equation describing the motion of the ball is determined as 15t + 4.9t².

This is the equation that describes the motion of an object is known as equation of motion.

The equation describing the motion of the ball is determined as follows;

y = vt + ¹/₂gt²

where;

y = 15t + 4.9t²

Thus, the equation describing the motion of the ball is determined as 15t + 4.9t².

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The position vector is obtained as r = 1.12 k + 0.58 i  + 1.22 j.

Let us consider the movement of the squirrel. We know that the position of the squirrel is defined by the equation;  r⃗ =[(0.280m/s)t+(0.0360m/s2)t2]i^+(0.0190m/s3)t3j^. We can see that this equation is what defines the position of the squirrel in the three cartesian dimensions as shown in the question.

We now have the position as required at the instant where t = 4.00 s being obtained as; r⃗ =[(0.280m/s)(4)+(0.0360m/s2)(4^2) ]i+(0.0190m/s3)(4)^3j. We now finally obtain the position of the body as required as being;

r = 1.12 k + 0.58 i  + 1.22 j

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