The graph at the right is a positive vs. Time graph for the motion of an object moving along a horizontal (x) axis For each of the 8 1-second time intervals, describe the displacement, instantaneous velocity (+/- and whether the velocity is increasing or decreasing) and the instantaneous acceleration of the object (+/-) for that individual 1-second time interval. Note that these descriptions can change inside of each of the time intervals ( i.e. during a single interval, the velocity may start off constant, but could change in the middle of that 1-second interval).

Since I can't get a visual represenation to send, I'll describe it so you can draw it to see:

Position Vs. Time graph (8x8) grid!

Position (y axis) ... x(m)
Starts at 0, count by 20's to reach 80 at the very top line on the 8x8 grid.

Time (x axis) ... t(s)
Starts at 0, count by 1 s all the way to 8 s (which should be on the very last line of the 8x8 grid.

PLEASE TELL ME IF YOU CAN'T VISUALLY DRAW THE GRAPH SO I CAN EXPLAIN IT BETTER OR DESCRIBE IT BETTER. I TRIED MY BEST TO DESCRIBE THE GRAPH FOR YOU TO HELP ME. Thankyou!

Now here are the points on the graph:
1.) From 0-1 second, the line is constant at 43m.
2.) From 1-2 seconds, the line is a positive slight under curve from 43m to point (2,60).
3.) From 2-3 seconds, the point goes from (2s, 60m) to (3s, 70m) at a positive slight over curve(slowing down but still positive).
4.) From 3-4 seconds, the line is constant from (3,70) to (4,70).
5.) From 4-5 seconds, the line is slightly decreasing from point (4,70) to points (5,68).
6.) From 5-6 seconds, starts from point (5,68) and decreases at a straight diagonal line to (6s, 2m).
7.) From 6-7 seconds, starting from point (6s, 2m), going to points (7,10) at a diagonal line but half the box, curved.
8.) From 7-8 seconds, the line is constant and ends at (8s, 10m)

HOPEFULLY, YOU CAN UNDERSTAND AND DRAW THAT. I TRIED TO DESCRIBE THE POINTS AND LINES OF WHERE IT IS GOING.
________________________________________
Now fill in the chart of the intervals describing its specific VELOCITY at that time during how many meters, and the ACCELERATION!
* I had to describe the position of each interval. I got all those right but the velocity column and acceleration column, I really need help.
______________________________________ |Describe Velocity| & separately |Describe Acc.| for each intervals!

INTERVALS (seconds)
1s
2s
3s
4s
5s
6s
7s
8s

Homework due by 12am midnight! Please help asap. Not sure how to explain or describe velocity or acceleration. Its confusing. Hope with help, there will be a clear understanding.

time is ending at t time

eg = 1 sec is ending at 1, first second
v is average velocity in inteval
(final-original)
a is acceleration change in speed/1 second

CHECK MY WORK
___ v a
1s 00 00
2s 17 10 v=(60-43) a =(v3-0)=10
3s 10 -17
4s 00 -2
5s -2 (2m-66)
6s (2m-68) -58
7s (10-2m) (2m -10)
8s 00 (10-2m)

everything is divided by one second

for velocity I take position
at n minus position at (n-1)
for acceleration I take velocity during n+1 - velocity during n

By the way I am assuming that your curve is continuous and smooth.

If there is an instantaneous change in slope (velocity), for example at 1 second, then the acceleration is infinite. a = (V2-V1)/0

CHECK MY WORK

___ v a
1s 00 00
2s 17 10 v=(60-43) a =(v3-0)=10
3s 10 -17
4s 00 -2
5s -2 (2m-66)
6s (2m-68) -58
7s (10-2m) (2m -10)
8s 00 (10-2m)

I got lost with the numbers. Could you please explain in words.. I am still lost. Hopefully I get a reply before 11 am so I can process the info before 12. Thanks Mr.Damon

To determine the displacement, instantaneous velocity, and instantaneous acceleration for each interval, we need to analyze the given information about the position vs. time graph. Let's break it down step by step:

1. For the interval from 0-1 second:
- Displacement: The graph is constant at 43m, so the displacement is 43m.
- Instantaneous Velocity: Since the graph is constant, the instantaneous velocity is 0m/s (no change in position).
- Instantaneous Acceleration: Since the velocity is constant, the acceleration is 0m/s² (no change in velocity).

2. For the interval from 1-2 seconds:
- Displacement: The graph starts at 43m and reaches a little under 60m, so the displacement is approximately 17m.
- Instantaneous Velocity: The graph shows a positive slight curve, indicating an increasing velocity. The exact values for each second are not given, so we can estimate that the velocity increases from 0m/s to a certain positive value.
- Instantaneous Acceleration: The graph shows a positive curve, indicating a positive acceleration. The exact values for each second are not given, so we can estimate that the acceleration is positive.

3. For the interval from 2-3 seconds:
- Displacement: The graph starts at 60m and reaches 70m, so the displacement is 10m.
- Instantaneous Velocity: The graph shows a positive slight over curve, suggesting a slowing down but still positive velocity. The exact values for each second are not given, so we can estimate that the velocity decreases from a certain positive value.
- Instantaneous Acceleration: The graph shows a positive curve that is slowing down, indicating a decreasing positive acceleration. The exact values for each second are not given, so we can estimate that the acceleration decreases from a certain positive value.

4. For the interval from 3-4 seconds:
- Displacement: The graph is constant at 70m, so the displacement is 70m.
- Instantaneous Velocity: Since the graph is constant, the instantaneous velocity is 0m/s (no change in position).
- Instantaneous Acceleration: Since the velocity is constant, the acceleration is 0m/s² (no change in velocity).

5. For the interval from 4-5 seconds:
- Displacement: The graph starts at 70m and decreases to 68m, so the displacement is -2m.
- Instantaneous Velocity: The graph shows a slight decrease, indicating a decreasing velocity. The exact values for each second are not given, so we can estimate that the velocity decreases from a certain positive value.
- Instantaneous Acceleration: The graph shows a slight decrease, indicating a decreasing positive acceleration. The exact values for each second are not given, so we can estimate that the acceleration decreases from a certain positive value.

6. For the interval from 5-6 seconds:
- Displacement: The graph starts at 68m and decreases to 2m, so the displacement is -66m.
- Instantaneous Velocity: The graph shows a straight diagonal line, suggesting a constant negative velocity. The exact values for each second are not given, so we can estimate that the velocity is constant at a negative value.
- Instantaneous Acceleration: Since the velocity is constant, the acceleration is 0m/s² (no change in velocity).

7. For the interval from 6-7 seconds:
- Displacement: The graph starts at 2m and reaches 10m, so the displacement is 8m.
- Instantaneous Velocity: The graph shows a curved line that covers half the box, indicating a changing velocity. The exact values for each second are not given, so we can estimate that the velocity initially increases and then decreases.
- Instantaneous Acceleration: The graph shows a curved line that covers half the box, indicating a changing acceleration. The exact values for each second are not given, so we can estimate that the acceleration initially increases and then decreases.

8. For the interval from 7-8 seconds:
- Displacement: The graph is constant at 10m, so the displacement is 10m.
- Instantaneous Velocity: Since the graph is constant, the instantaneous velocity is 0m/s (no change in position).
- Instantaneous Acceleration: Since the velocity is constant, the acceleration is 0m/s² (no change in velocity).

Here is the filled chart with the descriptions:

______________________________________________
| Intervals (seconds) | Describe Velocity | Describe Acceleration |
|------------------------|------------------------------------------|----------------------|
| 1s | 0m/s (constant) | 0m/s² (constant) |
| 2s | Increasing from positive value | Positive (decreasing) |
| 3s | Decreasing from positive value | Decreasing positive |
| 4s | 0m/s (constant) | 0m/s² (constant) |
| 5s | Decreasing from positive value | Decreasing positive |
| 6s | Negative and constant | 0m/s² (constant) |
| 7s | Initially increasing, then decreasing | Initially increasing, then decreasing |
| 8s | 0m/s (constant) | 0m/s² (constant) |
______________________________________________

Please note that some estimations were made based on the given information and the general shape of the curve. The exact values for velocity and acceleration within each second cannot be determined without additional data.