Can you help me with my calculas

A man is running around a circular track that is 200 min circumference. An observer uses a stopwatch to reoord the runner's time at the end of each lap; obtaining the data in the following table. \"II\"! (5) Distance (m) 30 ZCID 70 400 1.24 SCID lBCI BCID 242 1000 312 1200 336 1400 462 1590 (a) What: was the man's average speed {rate} between 70 s and 180 5? (Round your answer to two decimal places.) mr's (b) What was the man's average speed between 312 s and 452 5? {Round your answer to two decimal places.) mls (c) Calculate the man's speed for each lap. 15 he slowing down. speeding upr or neither? 0 slowing down 0 speedng up 0 neither Between 1980 and 2000, a rare book collector purchased books for his collection at the rate of 10 books per year. Use this information to complete the following table. [Note that not every year is given in the table.) Year Number of books 1980 490 1981 500 1982 1985 19911I 1992 1995 1997 1998 19 99 20 DD 690 A downhill 5k ng race ends in a threewtay tie for first place. The graph shows distance as a function of time for each of the three winnersr A, El, and C. 0' (In) [00 (a) Find the average speed 'Fur each skier. skier A ITIr'S skier B n'Ir's skier C ITIr'S (b) Describe the diFFerences between the ways in which the three participants skied the lace. Skier A: O maintains a steady pace 0 is SlD'n' at the beginning, but: accelerates dawn the hill 0 gets a great startr but slows at: the end of the lace Skier B: O maintains a steady pace 0 is SlD'n' at the beginning, but: accelerates dawn the hill 0 gets a great start. but slows at the end of the lace Skier C: O maintains a steady pace 0 is SlD'n' at the beginning, but: accelerates dawn the hill 0 gets a great start. but slows at: the end of the lace An object is dropped from a high cliff, and the distance (in feet) it has fallen after t seconds is given by the function d(t) = 161". Complete the table to find the average speed during the given time intervals. t= a t = b Average speed = - d(b) - d(a) b - a 5 un 5.1 un 5.01 5.001 5.0001 Use the table to determine what value the average speed approaches as the time intervals get smaller and smaller. Is it reasonable to say that this value is the speed of the object at the instant t = 5? Explain. From the table it appears that the average speed approaches Ift/s (rounded to the nearest whole number) as the time intervals get smaller and smaller. It ---Select--- reasonable to say that this number is the speed of the object at the instant t = 5.A Iinearfunction is given. fx]=%x+4 {a} Find the average rate of change oi the Function between x = a and x = a + h. E (In) Find the slope of the line. |:|