The graph of a function is given. Determine the average rate of change of the function between the indicated values of the variable (in red). Note: you can get an enlarged view of the graph by clicking on it. Average rate of change =A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 24 ft/s. Its height in feet after t seconds is given by y - 24t - 13t2. A. Find the average velocity for the time period beginning when t = 1 and lasting .01 s: 005 s: 002 s: 001 s: NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator. B. Estimate the instantaneous velocity when t = 1. Answer:The displacement (in meters) of a particle moving in a straight line is given by s = t - 6t + 17, where t is measured in seconds. (A) (i) Find the average velocity over the time interval [3,4]. Average Velocity = meters per second. (ii) Find the average velocity over the time interval [3.5,4]. Average Velocity = meters per second. (iii) Find the average velocity over the time interval [4,5]. Average Velocity = meters per second. (iv) Find the average velocity over the time interval [4,4.5]. Average Velocity = meters per second. (B) Find the instantaneous velocity when t - 4. Instantaneous velocity = meters per second.6 Given the function + 4 f(x) = x - 1 find the following. (a) the average rate of change of f on [2, 4]: (b) the average rate of change of f on [x, x + h]: Submit answerThe displacement (in feet) of a certain particle moving in a straight line is given by y = If to (A) Find the average velocity for the time period beginning when t = 2 and lasting (1) .01 s: (ii) .005 s: (iii).002 s: (iv) .001 s: NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator. (B) Estimate the instantaneous velocity when t = 2. Answer:If a ball is thrown straight up into the air with an initial velocity of 85 ft/s, its height in feet after t seconds is given by y - 85t - 16t2. Find the average velocity for the time period begining when t - 1 and lasting (i) 0.1 seconds 61 (ii) 0.01 seconds (iii) 0.001 seconds 68 Finally based on the above results, guess what the instantaneous velocity of the ball is when t = 1. 53The table below shows the position of a cyclist. Find the average velocity for each time period. t (in seconds) 0 1 2 3 4 5 s (in meters) 0 1.3 5.6 10.8 17.4 25.8 1. [1, 3] Average Velocity: 2. [2, 3] Average Velocity: 3. 3, 5 Average Velocity: 4. 3, 4 Average Velocity:6 Determine the average rate of change of the following function between the given values of the variable: f(ac) = 2* + 32; x = -2, x =1 Average rate of change = Submit