![]() ![]() Then, add these up to get a guess about the total distance Bolt traveled over the first 5 seconds seconds of his run. (c) About how much area is between the velocity graph and the t-axis, from t=0 to t = 1? Is there a relationship between this area and your answer to part 2(a)? (d) Approximate Bolt's distance for each of these 1 second intervals (1,2) (2,3) (3,4) (4,5). (There's more than one reasonable answer.) (b) On your graph from part 1(b), plot these velocities and connect them smothly to show to show Bolt's velocity function on the interval (0,9). (a) Using the above data, make an educated guess about how much distance Bolt traveled in the first second, from time 0 to time 1. (There's more than one reasonable answer.) (b) On your graph from part 1(b), plot these velocities and connect them smothly to show to 0 te W PIX (This data was taken from the paper "The force, power, and energy of the 100-meter sprint," by Helene and Yamashita.) time (sec) velocity (m/sec) 0 1 0 6 2 10 3 11 4 11.7 5 12.27 (a) Using the above data, make an educated guess about how much distance Bolt traveled in the first second, from time 0 to time 1. The following table shows approx- imate velocities over the first 5 seconds of Usain Bolt's world-record breaking 100-meter dash in the Berlin World Championships in 2009. Tall sprinterslike Makoyawo’s idol, the world’s fastest man, Jamaica’s Usain Bolt, who is six-foot-fiveexcel in the 100 and 200 more often than the 60, because their legs need a few more strides to hit top speed. It takes roughly 5 seconds for Usain Bolt to obtain top speed. What is the area of this rectangle? What is the relationship between this area and your answer to part (a)? 2. Leave space to add to this graph for the interval (0,5) - you will add to this graph in part 2 (c) The region between the graph of Bolt's velocity function and the t-axis, from t=5 to t = 9, forms a rectangle. (a) If Bolt maintains his top speed over a 4-second interval from t = 5 sec to t = 9 sec, how much distance does he travel in that time? (b) Draw a graph of Bolt's velocity function over the 4-second interval from part (a), (5,9). His lightning speed allowed him to cover the track in just 9. Bolt’s 100m sprint record is a remarkable achievement that currently stands unbeaten. This was achieved by Olympic gold medal winning sprinter Usain Bolt at the 2009 World Championships in Berlin. Young and Eugene Cernan achieved the highest speed relative to Earth ever attained by humans 39,897 km/h (11. The fastest human speed ever recorded is recorded as 45.45 km/h (28.26 mph). Usain Bolt is the fastest human in recorded history. Again, from the web, The Apollo 10 crew Thomas Stafford, John W. ![]()
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