Astronauts on a distant planet toss a rock into the air. Withthe aid of a camera that takes pictures at a steady rate, theyrecord the height of the rock as a function of time as given in thetable below. (Do the following in a computer spreadsheet orprogramming environment. Your instructor may ask you to turn inthis 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 intervalbetween each measurement and the next.
(b) Using these average velocities to approximate instantaneousvelocities at the midpoints of the time intervals, make a graph ofvelocity as a function of time.
(c) Does the rock move with constant acceleration?
Yes or No? Â Â
If so, plot a straight line of best fit on the graph and calculateits slope to find the acceleration. (If not, enter 0, and \"nodirection\".)
magnitude | The correct answer is not zero. m/s2 |
direction | ---Select--- upward downward no direction |