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Distance is 30 + 60 + 40 = 130 meters. Acceleration is -1.25

Step-by-step explanation:

Since position isnt directly given, you need to find the area underneath the curve.  This means that the change in distance is equal to how fast you are going divided by the change in time. You need to take the area of two triangles and one rectangle. Area of a triangle is 1/2BH and area of a rectangle is L x W, or really in this case you can also say B x H.

First Triangle

The change in velocity is 10-0 = 10. And your change in time is 6-0 = 6. Do 10 x 6 to get 60, then divide by 2 because this is a traingle. The first triangle is equal to 30.

Rectangle

Change in velocity is still 10-0 = 10. But this time the change in time is 12-6 = 6. Do 10 x 6 to get 60, but since this is a rectangle you do not divide by 2.

Second Triangle

The change in velocity is again 10-0 = 10. And this time, the change in time is 20-12 = 8. Do 10 x 8 to get 80, then divide by 2 to get 40

Acceleration

This is equal to delta velocity divided by time. This means change in. The final velocity at 20 seconds is 0 and is 10 at 12 seconds. So, 0-10 = -10. Now do -10 divided by 8, change in time, to get -1.25. This makes perfect sense because you can see the slope of the function at those final 8 seconds is decreasing and negative

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step-by-step explanation: