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1. The data shows the distance travelled by a parachutist over time. a. Graph. b. Approximate his speed at 2 seconds using the graph. c.
1. The data shows the distance travelled by a parachutist over time. a. Graph. b. Approximate his speed at 2 seconds using the graph. c. Find an equation to model the data. d. Approximate his speed at 2 seconds using the equation Time Distance (s) (m) 0 0 1 5 2 20 3 44 4 80 5 1272. The population of a small town, p, is modelled by the function p(t) = 10 050 + 225t - 2012, where t is the time in years from now. a) Determine the average rate of change of the population from i) year 0 to year 5 ii) year 5 to year 8 iii) year 8 to year 10 b) Interpret your answers in part a). c) Graph the function to verify your interpretation in part b).3. The height of a person above ground on a Ferris wheel is modelled by h = 20sin -t + 25 where t is the number of seconds. 60 a. Graph the relation over period. b. Determine the average rate of change for the interval 5 to 10 seconds. c. Determine the instantaneous rate of change at 10 seconds.4. The height, h, in meters of a toy rocket above the ground can be modeled by h(t)= -512 +50t, where t represent time in seconds. a. Find the instantaneous speed at t = 4 s b. Find the instantaneous speed at t = 10 s
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