The table gives coordinates of an object moving through space along a smooth curve. a. Find...
The table gives coordinates of an object moving through space along a smooth curve.
a. Find the average velocities over the time intervals [0, 1] , [0.5, 1] , [1, 2], and [1, 1.5].
b. Estimate the instantaneous velocity and speed of the particle at t=1.
| t | x | y | z |
|---|---|---|---|
| 0 | 5.7 | 15.6 | 8.7 |
| 0.5 | 5.1 | 17.2 | 8.3 |
| 1.0 | 4.3 | 19.0 | 8.0 |
| 1.5 | 4.9 | 20.4 | 7.8 |
| 2.0 | 7.3 | 21.8 | 7.7 |
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The table gives coordinates of an object moving through space
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