Question

Problem 2 (20 Points) Members of a skydiving club were given the following data to use in planning their jumps. In Table below, d is the distance fallen from rest by a skydiver in a "free-fall stable spread position" versus the time of fall t. d (ft) 01662 138 242 366 504 652808 97 10 12 13 14 15 1138 1309 1483 1657 831 2005 2179 2353 2527 2701 2875 16 17 18 19 20 (2-a) Convert the distances in feet into meters [1 ft = 0.3048 m] and fill in the Table. (2-b) Graph d in meters versus t? (2-c) Terminal velocity: The motion will have a terminal velocity after which d varies linearly in time. Use least-square linear fitting d- a+bt to find the terminal velocity? Hint: You need to select the suitable data on your graph of question (a). The terminal velocity would be the slope.

Answer 1

As we can see from the graph, After t = 12 sec the slope is almost constant. This means that the velocity is constant.

Velocity can be calculated by using any two consecutive points after t = 12 sec.

Terminal V = 53 m/sec

time velocity 16 4.87684.8768 62 18.8976 14.0208 138 42.062423.1648 242 73.7616 31.6992 366 111.5568 37.7952 504 153.6192 42.0624 652 198.7296 45.1104 808 246.278447.5488 971 295.9608 49.6824 1138 346.8624 50.9016 1309 398.983252.1208 1483 452.0184 53.0352 1657 505.0536 53.0352 1831 558.0888 53.0352 2005 611.124 53.0352 2179 664.1592 53.0352 2353 717.1944 53.0352 2527 770.2296 53.0352 2701 823.2648 53.0352 2875 876.3 53.0352 Distance vs Time 1000 800 10 12 13 14 15 16 17 10 15 20 25 Time in sec 19 20