Scientists in a particular field strive for the same quality of work because they know their peers will be reviewing their scien
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Answer:
Explanation:
Ok, the average speed can be calculate with the next equation:
(1)
Basically the car cover the same distance "d" two times, but at different speeds, so:
and the total time would be the time t1 required to go from A to B plus the time t2 required to go back from B to A:
From basic physics we know:
so:
Using the previous information in equation (1)
Factoring:
(2)
Finally, replacing the data in (2)
With acceleration
and initial velocity
the velocity at time <em>t</em> (b) is given by
We can get the position at time <em>t</em> (a) by integrating the velocity:
The particle starts at the origin, so .
Get the coordinates at <em>t</em> = 8.00 s by evaluating at this time:
so the particle is located at (<em>x</em>, <em>y</em>) = (64.0, 64.0).
Get the speed at <em>t</em> = 8.00 s by evaluating at the same time:
This is the <em>velocity</em> at <em>t</em> = 8.00 s. Get the <em>speed</em> by computing the magnitude of this vector: