The table below gives x and y coordinates of a particle in the plane at time t.
| t |
0 |
0.5 |
1 |
1.5 |
2 |
2.5 |
3 |
3.5 |
4 |
| x |
5 |
4 |
5 |
7 |
10 |
12 |
13 |
12 |
11 |
| y |
5 |
8 |
10 |
11 |
10 |
7 |
6 |
7 |
9 |
Assuming that the particle moves smoothly and that the points given show all the major features of the motion, estimate the following quantities:
a. The velocity vector and speed at time t=0.5.
b. Any times when the particle is moving parallel to the y-axis.
c. Any times when the particle has come to a stop.