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Pleаse put yоur nаme аt the tоp оf your paper. Write your work legibly and with clear steps to receive full and partial credit. SHOW WORK for all parts of the questions including ANY unit conversions. Please use the variables shown on the formula sheet and if a formula is used that is not on the formulas sheet the derivation MUST be shown for credit. Be sure your final answers are circled and have the correct significant figures and units. Your responses to the 5 problems should be scanned, saved as a SINGLE PDF and uploaded here in the last question. Leave yourself enough time to complete the upload. You have uploaded three times using Canvas so all the buds should be out. 1) Use the following graph to answer the questions below. a. Draw the corresponding position vs. time graph and acceleration vs. time graph. b. Explain how an object would have to move to create the following graph. (Be as specific as you can in your descriptions using words like toward, away, faster or slower and numerical values.) c. Determine the displacement from t = 0 s to t = 4.0 s (Show your work!) d. Determine the object’s acceleration at point C. (Show your work!) 2) A family visits the Cincinnati Nature Center to hike. They start at the visitor's center and follow a trail to a creek. They walked 225 m north, 435.0 m Northeast and 3.00 x 102 m West when one of the kids fell and hurt their ankle. Since the child couldn't walk on it the father headed back to the visitor's center to get help. (Draw a sketch of the hike to help!) a. Use the component method to determine their resultant displacement from the visitor's center and the quickest way back for help. b. How would their final position change if they walked West first, Northeast and then North? Explain. 3) A PGA golfer hits a golf ball off a tee with his driver at a 35.0 °angle and a velocity of 125 mph. The ball ends up down the fairway near the green. (Assume air resistance is negligible and the tee is at ground level) (1 m = 3.281 ft, 3 ft = 1 yd, 1 mi = 1.609 km) a. Draw a diagram for the golf ball’s motion and show all variables. b. How much time is the golf ball in the air? c. How many meters above the ground is the golf ball when it reaches the peak? d. How many yards down the fairway does it land? 4) A five birds sit on a wire halfway between two telephone poles. The birds each weigh 0.500 kg and are sitting close enough that their weight acts at a single point on the wire. The telephone poles are 250 ft (76.2m) apart and are about 30 ft( 8.0 m) tall. When the birds land on the wire the wire sags 20.0