Acceleration in a velocity vs time graph is just the slope at that point. The reason for that is because the definition of acceleration is the change in velocity per unit of time. In this case we want instantaneous, which is the derivative or tangent line at that point.
At 3s we can see the slope is 0, so that means his acceleration is zero. That means he was moving at a constant velocity
At 5s we can see that the slope is negative. And from 5s to 6s the change in velocity is -5m/s^2
At 7s we can see the slope is very positive. And from 7s to 8s the change in velocity is +15m/s^2
And again, at 9s the slope is 0 so his acceleration is also zero. He’s moving at a constant velocity
If you take the integral of a velocity vs time graph, you get position. So the area underneath a velocity vs time graph is the distance traveled. Anything below the x axis is considered negative distance. We need to take the area of a triangle and the area of two rectangles to find the distance.
So, let’s do the two rectangles first. From 8s to 9s it is a width of 1 and a length of 40. So the area would be 40 meters. Let’s do the second rectangle. From 7s to 8s it is a width of 1. Then the length goes up to 25. So the area is 25 meters.
Now the triangle, the base is 1 and the height is 15. Divide 15 in half to get 7.5 meters
25 + 40 + 7.5 = 72.5 meters
Answer:
Explanation:
To calculate the force we need to use this equation
where L is the total length of the wire
So in this case the small element of current is
Because x is the direction of the current flow.
As is said in the problem B is such that
![\vec{B} = B \hat{j} = 0.62\hat{j} [ T]](https://tex.z-dn.net/?f=%20%5Cvec%7BB%7D%20%3D%20B%20%5Chat%7Bj%7D%20%3D%200.62%5Chat%7Bj%7D%20%5B%20T%5D)
so to use the equation above we first calculate the following cross product:
so the force:
So here we use the fact that B=0 in any point of the x axis that is not ![x^{'}=0.27 [m]](https://tex.z-dn.net/?f=%20x%5E%7B%27%7D%3D0.27%20%5Bm%5D%20)
, that means that we only need to do the integration between a very short distant behind the point and a very short distant after that point, meaning:
so is the same as evaluating 
at 
that is:
Electricity is the FLOW of electrons, because electrons PASS from atom to atom
Calculating the average speed is simple using the formula <span>speed = distance/time</span>
