Question: 1. The distance an object falls in a given amount of time is related to the acceleration of the object. The function f(d) =2 -

1. The distance an object falls in a given amount of time is related to the acceleration of the object. The function f(d) =2 - takes as its input the amount of distance (in meters) an object falls and calculates the amount of time it takes (in seconds) for an object to fall that distance, where g is the acceleration due to gravity for the object measured in meters per second per second a. An object on planet earth is forced downward with an acceleration of 9.8 meters per second per second. i. (3 pts) Evaluate f(10) and interpret its meaning. ii. (3 pts) Evaluate f (5.2) and interpret its meaning. iii. (3 pts) Write the rule for the inverse of f and describe the input and output quantities. b. An object on the moon is forced downward with an acceleration of 1.6 meters per second per second. i. (3 pts) Evaluate f(10) for this new situation and explain its meaning. ii. (2 pts) Compare this with your answer from part (a) above and comment on your results

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