describe what the distance time graph would look like-?

Question

if a person moves slowly at a constant rate toward a motion sensor,

if a person moves quickly at a constant speed away from the sensor

a person does not move

a person moves toward a motion sensor, slowly at first, then gradually picks up speed.



need answears

Answer 1

Distance on the vertical (y) axis, Time on the horizontal (x) axis.
If your sensor is at distance = 0, and the slopes go from left to right
1) constant shallow slope down towards zero.
2) constant steep slope up away from zero
3) horizontal line
4) shallow slope down at first, becoming steeper and steeper down, curving towards zero

Answer 2

Look at
http://nces.ed.gov/nceskids/createagraph/index.asp?ID=76B74DDE82BA2B475

for the graph.
I used 10 seconds for all four.

The first was starting 10 meters away moving 1m/s towards
The second was starting at the sensor moving 2m/s away

The third is a point that shows the distance from the sensor.
The fourth started 50 meters away accelerating at 1m/s^2 towards

The first two are linear
The fourth is parabolic

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