A football is kicked into the air such that its height, h, in metres, after t...

 

Transcribed Image Text:

A football is kicked into the air such that its height, h, in metres, after t seconds can be modelled by the function h(t) = 4.9 + 14t + 1. a) Determine the average rate of change of the height of the ball for each time interval. i) [0, 0.5] b) Consider the graph of ii) [2, 2.5] h(t) = -4.914t+ 1 with secant lines AB and CD. Describe the relationship between the values in part a), the secant lines, and the graph. 10 h 00 Height of Football Height (m) 9 B 2 A D 0 1 2 3 Time (s) A football is kicked into the air such that its height, h, in metres, after t seconds can be modelled by the function h(t) = 4.9 + 14t + 1. a) Determine the average rate of change of the height of the ball for each time interval. i) [0, 0.5] b) Consider the graph of ii) [2, 2.5] h(t) = -4.914t+ 1 with secant lines AB and CD. Describe the relationship between the values in part a), the secant lines, and the graph. 10 h 00 Height of Football Height (m) 9 B 2 A D 0 1 2 3 Time (s)