# Physics 216, Show My Homework 1

An object moving in one dimension with constant acceleration $a=+5m/s^2$ starts from rest at x=0 m at time t=0 s

i) Fill in the empty cells in the table to the left showing the position and velocity of the object as a function of time

ii) Make a x-y plot of position as a function of time from t=0 s to t=20 s (started below)

Mathematically, how would you describe the shape of the graph?

The shape of the graph is the right part of a parabola that has the vertex in (0,0). How can you determine the shape of the graph from the equation you used for position? $S = V0*t + a*t^2/2$ and since $v0 =0$ then it remains $S = a*t^2/2$ which is a parabola having the Vertex in (0,0).

iii) Make an x-y plot of velocity as a function of time from t=0 s to t=20 s (started below)

Mathematically, how would you describe the shape of the graph?

The graph is a line that has the slope equal to the acceleration a and is through (0,0). How can you determine the shape of the graph from the equation you used for velocity? $V = V0 +a*t$ and since $V0 =0$ it remains $V =a*t$ which is a line with slope $a$.

Time (s) Position (m) Velocity (m/s)

0 0 0

1 5 5

2 20 10

3 45 15

4 80 20

5 125 25

6 180 30

7 245 35

8 320 40

9 405 45

10 500 50

11 605 55

12 720 60

13 845 65

14 980 70

15 1125 75

16 1280 80

17 1445 85

18 1620 90

19 1805 95

20 2000 100