1. (15pts) a. Study (5pts) Watch this video https://www.youtube.com/watch?v=ahXIMUkSXX0&t=98s

and then draw a perfect Fibonacci spiral here. Warning: resist the urge to arc across the diagonal~!

b. Explore (10pts) The patterns in nature which have formed science over the ages are profound and interesting mathematically. Please investigate some such patterns you find in the world around you and report here your findings. Directions: Go on a scavenger hunt for Fibonacci spirals or other interesting patterns in your world. Take a picture of the item you find, and include your thumb in the picture so we know you really took the picture (not googled it). Write a sentence explaining how your pattern is relevant in science. c. Item 1; d. Item 2; e. Item 3;

. (10pts) Experiment the acceleration due to gravity on the Earth by repeating the experiment that you saw in lecture (https://www.youtube.com/watch?time_continue=1&v=NxZMjpMhwNE&embeds_euri=https%3A%2F%2Fdocs.google.com%2F&embeds_origin=https%3A%2F%2Fdocs.google.com&feature=emb_logo&themeRefresh=1) but on Earth. STEPS:

a. Make a pendulum with your shoes or something. It should have a string and a "bob". The "bob" should be heavy enough that the string has a constant tension(does not bend or twist).. b. measure the length L (in meters) of your string from the middle of the "bob" to the point you use to attach the string to something steady. c. Measure at least 10 periods per trial, in which one full period equates to the object returning to the starting position . Do 10 trials. Fill in the following table.

Trial Time for 10 complete Ave. time per swing swings a. (4pts) Take the average of all the ten averages above: b. (4pts) Use the equation g = L(Z'J[)z/ T2 to find how well you measured the acceleration due to gravity on the Earth (g =9.81 m/s?). Please use your actual value for the period in the calculation, honesty is more important than getting exactly 9.81. . Your value of g c. (2pts) Is your value clearly different from the Moon of 1.625 m/s2? If not, please clearly explain your most likely source of error