Galileo Galilei Is Attributed With Discovering That The Distance Traveled By A Talling Object Is Directly Proportional T 1 (18.46 KiB) Viewed 50 times
Galileo Galilei Is Attributed With Discovering That The Distance Traveled By A Talling Object Is Directly Proportional T 2 (29.67 KiB) Viewed 50 times
Galileo Galilei is attributed with discovering that the distance traveled by a talling object is directly proportional to the square of the time that the object has been in the air. Prior to this, people thought that the time depended also on the mass of the object. Galileo showed that objects of different masses dropped at the same moment hit the ground at the same time. More specifically, the distance traveled by a falling object is proportional to the square of the time elapsed with a constant of proportionality of 16. (a) Write the equation that models the distance traveled df (in feet) as a function of time t (in seconds). o(1) = (b) Use a graphing calculator to graph a(t) 1500 1000 500 10 1500 1000 500 10
y 1500 1000 O 500 2 next 2 seconds next 2 seconds 4 6 8 10 X What can you say about the average rate of change of a falling object? The object speeds up as the time increases. 1500 1000 O 500 2 4 8 10 (c) Use the model to find the average rate of change of a falling object over the first 2 seconds, the next 2 seconds, and the next 2 seconds. first 2 seconds x
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