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3 years ago

Write a paragraph containing 8 rnery transformation

1 answer:

4 0

Energy Transformations - Energy Types - This product is a bundle of two of my energy card sort of lab station activities. Included in the bundle: Energy Transformations Card Sort Energy Types Card Sort My students love both

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A car is moving with speed 20 m/s and acceleration 2 m/s2 at a given instant. Using a second-degree Taylor polynomial, estimate

PilotLPTM [1.2K]

Answer:

$T(1)=21$

Explanation:

The equation of the position in kinematics is given:

$x(t)=x_{0}+v_{0}t+0.5at^{2}$

x(0) is the initial position, in this it is 0
v(0) is the initial velocity (20 m/s)
a is the acceleration (2 m/s²)

So the equation will be:

$x(t)=20t+0.5*2*t^{2}$

$x(t)=20t+t^{2}$

Now, the Taylor polynomial equation is:

$f(a)+\frac{f'(a)}{1!}(x-a)+\frac{f''(a)}{2!}(x-a)^{2}+...$

Using our position equation we can find f'(t)=v(t) and f''(x)=a(t). In our case a=0, so let's find each derivative.

$f(t)=x(t)=20t+t^{2}$

$f'(t)=\frac{dx(t)}{dt}=v(t)=20+2t$

$f''(t)=\frac{dv(t)}{dt}=a(t)=2$

Using the Taylor polynomial with a = 0 and take just the second order of the derivative.

$f(0)+\frac{f'(0)}{1!}(x)+\frac{f''(0)}{2!}(x)^{2}$

$f(0)=x(0)=0$

$f'(0)=v(0)=20$

$f''(0)=a(0)=2$

$T(t)=f(0)+\frac{f'(0)}{1!}(t)+\frac{f''(0)}{2!}(t)^{2}$

$T(t)=\frac{20}{1!}(t)+\frac{2}{2!}(t)^{2}$

$T(t)=20t+t^{2}$

Let's put t=1 so find the how far the car moves in the next second:

$T(1)=20*1+1^{2}$

$T(1)=21$

Therefore, the position in the next second is 21 m.

We need to know if the acceleration remains at this value to use this polynomial in the next minute, so I suggest that it would be reasonable to use this method just under this condition.

I hope it helps you!

4 0

3 years ago

Part C

iVinArrow [24]

Answer:the wave lengths are shorter and faster

Explanation:

Plato

7 0

3 years ago

Which of the following could be described as "Energy cannot be created or destroyed ,only converted into other forms"?

Kryger [21]

Answer:

Explanation:

This is right because that's how u describe it

5 0

3 years ago

Why do alpha particles and nuclei repel each other rather than attract eachother

Vesnalui [34]

Both have positive charge. In fact, an alpha particle IS a nucleus of a Helium atom.

5 0

3 years ago

The coefficient of static friction between car's tires and a level road is 0.80 If car to be stopped in time of 3.0 sec its spee

Vlad1618 [11]

Answer:

23.5 m/s

Explanation:

The velocity of the car in decelerated motion is given by

v = u + at

where

v = 0 is the final velocity

u is the initial velocity

a is the acceleration of the car

t = 3.0 s is the time it takes for the car to stop

The acceleration of the car is given by the frictional force, which is the only force acting on the car along the direction of motion, so:

$ma = -\mu mg\\a = -\mu g = -(0.80)(9.8 m/s^2)=-7.84 m/s^2$

where

$\mu=0.80$ is the coefficient of friction

Solving the previous equation for u, we find the initial velocity:

$u=v-at=0-(-7.84 m/s^2)(3.0 s)=23.5 m/s$

4 0

4 years ago