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:

Howdy!

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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the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.

a.metals can become magnetic if they have many spinning electrons that create magnetic fields.d.only some metals are attracted by magnets; these metals are called ferromagnetic.

d.wrapping an insulated wire around a metal with ferromagnetic properties and applying an electric current.