Asnowboarder starts from rest at the top of a double black diamond hill. as he rides down the slope, gps coordinates are used to determine his displacement as a function of time, x = 0.5t3 + t2 + 2t, where x and t are expressed in feet and seconds, respectively. determine the position, velocity, and acceleration of the boarder expressed when t = 12 seconds. (round the final answer to one decimal place.)

Explanation:

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To solve this question we need to know that the velocity v and acceleration a are the first and second derivatives of the position x respect to the time t.

Let's calculate these derivatives:

If we use the following formula:

--- (1)

we get that:

--- (2)

Now the acceleration:

Therefore:

--- (3)

To determine the position, velocity and acceleration at t=12 we must evaluate these functions at t=12:

Evaluating these equations we obtain the required values:

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explanation:

answer: d. a cme increases the amount of energy in the solar wind

explanation:

coronal mass ejections, also called cmes, are large clouds of plasma and magnetic field that erupt from the sun. only when the cloud is aimed at earth will the cme hit earth and therefore cause impacts. high-speed solar wind streams come from areas on the sun known as coronal holes.