Question

1-17 graphing position vs. time to find velocity
name kiarro green mr. dimitriou date 10/1/25
period 5th
assume all distances are in a straight line unless otherwise specified.

1. draw the following position vs. time graph. remember, in physics time is always the independent variable (that means the line that goes sideways on the graph)

t (seconds) x (meters)
0 2
1 7
2 8
3 14
4 30
5 28
remember, velocity is change in position over change in time $\frac{xf - x0}{tf - t0}$

1. look at the table above. what is the slope of the graph between 0 and 1 seconds?
2. what was the average velocity between 0 and 1 seconds?
3. what was the average velocity between 0 and 3 seconds?
4. what was the average velocity between 2 and 3 seconds?

Explanation:

Answer:

(1) Plot points \((0,2)\), \((1,7)\), \((2,8)\), \((3,14)\), \((4,30)\), \((5,28)\) on a graph with time \(t\) (in seconds) on the x - axis and position \(x\) (in meters) on the y - axis and connect them with a smooth curve.
(2) \(5\) m/s
(3) \(5\) m/s
(4) \(4\) m/s
(5) \(6\) m/s