Height of Grass (inches) in Brady creates the graph below to keep track of the approximate height of the grass on his lawn over time. What is the dependent variable in this situation? Brady's Lawn the number of inches the grass grows each day 2.5 the number of days it takes for the grass to 2.0 grow an inch 1.5 the amount of time that has passed, in days 1.0 the height of the grass, in inches 0.5 0 2 4 6 8 10 12 14 16 18 20 Time (days)

Question content area Part 1 At low​ altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver jumps out of a​ low-flying plane. If the plane is 2000 feet above the ground and the jump lasts 85 ​seconds, how high above the ground was the skydiver 50 seconds after he​ jumped?   He would be enter your response here feet above the ground. ​(Round answer to nearest tenth of a​ foot.)

Consider an astronaut on a large planet in another galaxy. To learn more about the composition of this planet, the astronaut drops an electronic sensor into a deep trench. The sensor transmits its vertical position every second in relation to the astronaut's position. The summary of the falling sensor data is displayed in the following table. Time after Position (m) dropping (s) 1. -1 -2 3 -4 4 -8 5 -14 (a) Using a calculator or computer program, find the best-fit quadratic curve to measure the position of the sensor (in m) as a function of t, the time (in s) after the sensor is dropped. (Round all numerical values to four decimal places.) P(t) = (b) Find the derivative of the position function from part (a). p'(t) = tive. wncor yıve (c) Find the second derivative of the position function from part (a). p "(t) = LApiam py The ---nd dorivative f the nocition functio-

bike increases its speed by five meters per second every 10 seconds. Which graph shows this relationship? 501 45 50 45 40 35 30 25 35 A. B. 010 20 30 4050 Time (sec) 10 20 30 4050 Time (sec) 50 10 35 30 D. C. 10 20 30 40 50 Time (sec) 10 20 30 40 50 Time (sec) Snonon onon o n44332211 Speed (m/sec) Speed (m/sec) nttmm2211