Math GA Worksheet 3 (Friday) Fall 2022 Please list the names of the people in your group on the work you turn in. This worksheet is due on Gradescope tonight by 11:59pm. 1. A tortoise and hare compete in a 1000-meter race. The fast hare starts at the starting line and gives the tortoise a 550-meter head start. When the starting gun is fired the hare and tortoise begin running at constant speeds. The hare reaches the 80 meter-mark in 4 seconds. The tortoise crawls to the 600 meter-mark in 10 seconds. Let 7 be the tortoise's distance and / the hare's distance from the starting line, in meters, { seconds since the race began. (a) Depict the race on a numberline. Label the starting places, end, and distances. (b) What is the hare's speed? How far does it run in 3 seconds? Include units, (c) What is the tortoise's speed? How far from the starting line is the tortoise I second after the race began? Include units. (d) Write an equation for # in terms of t. (e) Write an equation for T in terms of t. (f) Does a vary at a constant rate with respect to 6? ii. a = AT, b = At iii. a = N. ber iv. a = AH, b = At (g) Who finishes the race first? Justify your