With a slope of 6.4%A car starts at 0mph, and has a top speed of 203
And has a base acceleration of 2.93ft/s2
How long would it take to reach 12.42 miles

Answers

Answer 1
Answer:

Answer: 271.4 s

Explanation:

We are told the top speed (maximum speed)V_(max) the car has is:

V_(max)=203 mph=90.74 m/s taking into account 1 mile=1609.34 m

And the car's base acceleration (average acceleration)a_(ave) is:

a_(ave)=2.93 ft/s^(2)=0.89 m/s^(2)

Since:

a_(ave)=(V_(f)-V_(o))/(\Delta t)(1)

Where:

V_(f)=V_(max)=90.74 m/s is the car's final speed (top speed)

V_(o)=0 m/s because it starts from rest

\Delta t is the time it takes to reach the top speed

Finding this time:

\Delta t=(V_(f)-V_(o))/(a_(ave))(2)

\Delta t=(90.74 m/s - 0 m/s)/(0.89 m/s^(2))(3)

\Delta t=t_(1)=101.95 s(4)

Now we have to find the distance d the car traveled at this maximum speed with the following equation:

V_(f)^(2)=V_(o)^(2) + 2a_(ave) d(5)

Isolating d:

d=(V_(f)^(2))/(2a_(ave))(6)

d=((90.74 m/s)^(2))/(2(0.89 m/s^(2)))(7)

d=4625.70 m(8)

On the other hand, we know the total distance D traveled by the car is:

D=12.42 miles = 19988.052 m

Hence the remaining distance is:

d_(remain)=D-d=19988.052 m - 4625.70 m(9)

d_(remain)=15362.35 m(10)

So, we can calculate the time t_(2) it took to this car to travel this remaining distance d_(remain) at its top speed V_(max), with the following equation:

V_(max)=(d_(remain))/(t_(2))(11)

Isolating t_(2):

t_(2)=(d_(remain))/(V_(max))(12)

t_(2)=(15362.35 m)/(90.74 m/s)(13)

t_(2)=169.45 s(14)

With this time t_(2) and the value of t_(1) calculated in (4) we can finally calculate the total time t_(TOTAL):

t_(TOTAL)=t_(1)+ t_(2) (15)

t_(TOTAL)=101.95 s + 169.45 s (16)

t_(TOTAL)=271.4 s s


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C is wrong ( currently failing ) Please Help

if two objects at different temperatures are in contact with each other, what happens to their temperatures.

Answers

Okay, let me reword this.  Heat flows to areas that are cool, however, once the heated area begins to cool, the other area begins to warm up. Then there comes a point when there is no energy being transmitted into the two areas. When that happens the two areas obtain/are at the same temperature.

For example, you let the warm are escape your kitchen and go into the cold garage. You leave the kitchen door open and the heat continues to flow into the cold garage. After a while you will begin to notice that the kitchen feels noticeably cooler and the garage feels somewhat warmer. Then you wait a while longer and realize that both of the rooms feel like they are at the same temperature. They have then reached equilibrium.

-- When the objects come in contact, heat energy begins to flow from the
warmer one to the cooler one. 

-- The warmer one cools as it loses heat energy, and the cooler one warms
as it gains heat energy. 

-- The flow of heat energy stops when the temperatures of both objects are equal.

Do heavier objects fall slower than lighter things?

Answers

no, hevier things only seem to go faster because of air resistance

if you dropped two identical bottles in a vacum, with one empty and the other full, then both bottles would hit the ground at the same time
No. The gravitational pull on all objects -9.8m/s/s.
Because there is no mass variable in order to find the rate at which objects fall, this means that mass does not have an affect on the rate at which objects fall.
You also must consider wind resistance but that's a more in depth concept.

You can watch a video on youtube called "Hammer vs. Feather - Physics on moon". It shows how on the moon (Where there is no wind resistance) how a hammer and a feather fall at the same rate

Acceleration is defined as the rate of change for which of the followingA. time
B. velocity
C. position
D. displacement

Answers

Acceleration is defined as the rate of change in the velocity of the moving object, therefore the correct answer is option B.

What is acceleration?

The rate of change of the velocity with respect to time is known as the acceleration of the object.

The rate of change of displacement is known as the velocity of the moving body and it is given by the expression,

velocity = d(displacement)/dt

The rate of change of velocity is known as the acceleration of the moving body and it is given by the expression,

acceleration = d(Velocity)/DT

Thus, acceleration is defined as the rate of change in the velocity of the moving object, therefore the correct answer is option B.

To learn more about acceleration from here, refer to the link;

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The acceleration of the body is defined as the rate of change of velocity.

Further Explanation:

The body is said to be accelerating its velocity is changing with the time. The velocity of a particular body is defined as the rate of change of displacement of the body.

The velocity of a body is represented as:

v=\frac{{dx}}{{dt}}

Here, x  is the position of the body and t  is the time

Now when a body moves with a constant speed during its motion, then it is considered as the uniform motion of the body. During the uniform motion of the body, the acceleration of the body remains zero.

But if the velocity of the body is changing along with the time, the body is said to be accelerating. The acceleration of the body is defined as the rate of change of velocity of the body. It is represented mathematically as:

\boxed{a=\frac{{dv}}{{dt}}}

Thus, the acceleration of the body is defined as the rate of change of velocity.

Learn More:

1. If an object is moving at a constant speed in one direction, what is needed to change its speed or direction brainly.com/question/1979936

2. A car traveling at speed v takes distance d to stop after the brakes are applied brainly.com/question/4967602

3. Suppose you are standing on a train accelerating at 0.20 g brainly.com/question/1621778

Answer Details:

Grade: Middle School

Subject: Physics

Chapter: Kinematics

Keywords:

Acceleration, rate of change, velocity, time, position, displacement, constant speed, accelerating, v=dx/dt, a=dv/dt, rate of change of displacement.

Guys help...A spring that obeys Hooke's law, with a spring constant k1, is cut into N identical springs, each with a spring constant k2. Determine the relationship between k1 and k2​...​

Answers

Answer:

K2 = N*K1

Explanation:

The force you apply to each section is the same you apply to the whole spring, but the extension of each section is dX/N (if dX is the extension of the entire spring)

A toy car runs off the edge of a table that is 1.225m high .the car lands 0.400m from the base of the table .

Answers

Answer:

a) 0.5s

b) 2.45m/s

Explanation:

The toy car in figure 6-12 runs off the edge of a table that is 1.225m high. The car lands 0.400m from the base of a table.

a) How long did it take the car to fall?

b) How fast was the car going on the table?

don't now if this helps but let me now if it did

Final answer:

The question is about a physics concept called projectile motion. First, we calculate the time the toy car is in the air using the height of the table and gravity, and then we find the horizontal velocity of the car as it leaves the table.

Explanation:

The question is about a situation where a toy car runs off the edge of a table and lands on the floor. This situation is a classic problem in physics pertaining to projectile motion or the motion of an object thrown in the atmosphere. Here, the motion is two-dimensional, including both vertical (free fall) and horizontal (uniform) motion.

First, calculate how much time the car is in the air using the height of the table and the acceleration due to gravity (approx. 9.81 m/s²). Using the free fall equation, t = √(2h/g), where h is the height of the table and g is the gravity, we get t = √(2*1.225m/9.81 m/s²) = 0.5 seconds. This is the time it takes for the car to hit the floor.

Next, we find the horizontal velocity using the formula s = d/t, where s is speed, d is distance and t is time. So, s = 0.400m/0.5s = 0.8 m/s. This is the speed of the car as it leaves the table.

Learn more about Projectile Motion here:

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1) Why do the different rocks exposed in the Grand Canyon appear in layers for the most part? Where are the oldest layers of rock found? Where are the youngest rocks found?

Answers

This is what i put:

  TheGrand Canyon is made up of sedimentary rock; over time, sediments formed intolayers. The layers on the bottom are the oldest, and the layers on the top arethe youngest and newest. 

Try and paraphrase though

Answer: C

Scientists observe the layers for evidence of similar rock types and fossil formations to determine the age of landforms. If they find the same fossil in two different locations, scientists may conclude that those fossils are most likely from the same time period. The same is true for landforms made of certain types of rock. When scientists see layers of similar rock sediments, they use that as evidence to support that are from a similar time period. By analyzing the rock layers, scientists estimate that Earth is 4.6 billion years old.

Explanation: