# 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 