In: Physics
Astronauts on a distant planet toss a rock into the air. With the aid of a camera that takes pictures at a steady rate, they record the height of the rock as a function of time as given in the table below. (Do the following in a computer spreadsheet or programming environment. Your instructor may ask you to turn in this work.)
Time (s) | Height (m) | Time (s) | Height (m) | Time (s) | Height (m) | ||
---|---|---|---|---|---|---|---|
0.00 | 6.00 | 1.75 | 12.64 | 3.50 | 12.55 | ||
0.25 | 7.36 | 2.00 | 13.04 | 3.75 | 11.98 | ||
0.50 | 8.59 | 2.25 | 13.30 | 4.00 | 11.28 | ||
0.75 | 9.67 | 2.50 | 13.43 | 4.25 | 10.44 | ||
1.00 | 10.62 | 2.75 | 13.41 | 4.50 | 9.47 | ||
1.25 | 11.43 | 3.00 | 13.26 | 4.75 | 8.35 | ||
1.50 | 12.11 | 3.25 | 12.97 | 5.00 | 7.10 |
(a) Find the average velocity of the rock in the time interval
between each measurement and the next.
(b) Using these average velocities to approximate instantaneous
velocities at the midpoints of the time intervals, make a graph of
velocity as a function of time.
(c) Does the rock move with constant acceleration?
Yes or No?
If so, plot a straight line of best fit on the graph and calculate
its slope to find the acceleration. (If not, enter 0, and "no
direction".)
magnitude | The correct answer is not zero. m/s2 |
direction | ---Select--- upward downward no direction |