4.4 Assignment: Average and Instantaneous Rates of Change Blast Off The graph shows a rocket's height above the ground from time of launching to return to earth. 1. Draw a line from (0,0) to (4. 150). This line is called a secant. Calculate the average velocity of the rocket for the first 4 s of flight. Height of a Rocket over time -200 -180 -160 2. Calculate the average velocity of the rocket from a) Osto l s b) 3 s to 4 s -140 -120 Height (m) |100 -80 -60 c) When was the rocket travelling the fastest? 3 4 5 6 7 8 9 10 Time (s) 3. Draw at line through the points A(5, 180), B(7,60) and C(8.2,0). This line is called a tangent. The slope of the tangent line at t = 7 represents the instantaneous velocity of the rocket at 7 s. Determine the slope of the tangent line at t = 7, using the slope formula.4. Given (6.8, 71.04). (6.9, 65.57), (6.99, 60.559), (7, 60), calculate the average velocity a) from 6.8 s to 7 s b) from 6.9 s to 7 s c) from 6.99 s to 7 s 5. In question 4, the average velocity is approaching This number represents the instantaneous velocity at 7 s As we shorten the time interval, the average velocity approaches the instantaneous velocity. So the instantaneous velocity can be estimated two ways: i) by finding the slope of the tangent at a point ii) by calculating the average velocity over the smallest interval for which there is data