Answer:
12.65 m/s
Explanation:
When friction is ignored, if the car travels from 18m hill to the bottom of the hill, afterwards it travels up to a 10m hill, then overall it has traveled a distance of 18 - 10 = 8 m vertically.
If the car starts from rest, then its potential energy is converted to kinetic energy:
where m is the car mass and h is the vertical distance traveled, v is the car velocity at 10m hill
Let g = 10m/s^2. We can cancel m from both sides of the equation:
Well, just for fun, let's see hat the form of the limit is
<span>v = dx/dt = b + 3 c t^2 </span>
<span>= 1.5 + 1.92 t^2 </span>
<span>========================= </span>
<span>now </span>
<span>from 1 to 3 </span>
<span>x(3)= 1.5*3 +.64*27=4.5+17.28 </span>
<span>= 21.78 </span>
<span>x(1) = 1.5+.64 = 2.14 </span>
<span>so </span>
<span>x(3)-x(1) = 19.64 </span>
<span>delta t = 3 - 1 = 2 seconds </span>
<span>so </span>
<span>v during interval = 19.64/2 </span>
<span>= 9.82 m/s </span>
<span>now check that with calculus v in the middle of that range </span>
<span>v(2) =1.5+ 1.92 (4) = 9.18 m/s </span>
<span>that makes sense, the parabola is headed up so the instant speed i the middle should be a bit less than average. </span>
An externality, sometimes called a spillover, occurs when an exchange between a buyer and seller has an impact on a third party who is not part of the exchange. Externalities can be positive or negative
<h3>What are Externalities?</h3>
Externalities refers to situations when the effect of production or consumption of goods and services imposes costs or benefits on others which are not reflected in the prices charged for the goods and services being provided.
Externalities Private markets offer an efficient way to put buyers and sellers together and determine what goods are produced, how they are produced, and who gets them. The principle that voluntary exchange benefits both buyers and sellers is a fundamental building block of the economic way of thinking. But what happens when a voluntary exchange affects a third party who is neither the buyer nor the seller?
Externalities can be negative or positive. If you hate country music, then having it waft into your house every night would be a negative externality. If you love country music, then what amounts to a series of free concerts would be a positive externality.
Learn more about externalities here:
brainly.com/question/24233609
#SPJ1
Answer:
45.3°C
Explanation:
Heat gained = mass × specific heat × increase in temperature
q = mC (T − T₀)
Given C = 0.128 J/g/°C, m = 94.0 g, q = 305 J, and T₀ = 20.0°C:
305 J = (94.0 g) (0.128 J/g/°C) (T − 20.0°C)
T = 45.3°C