1. Solve the given equation. (Round your answer to two decimal places.)

10x^2.5=60

x=

2 . Galileo Galilei is attributed with discovering that the distance traveled by a falling 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 traveledd(in feet) as a function of timet(in seconds).

d(t) =

(b) Use the model to find the average rate of change of a falling object over the first2seconds, the next2seconds, and the next2seconds.

first2seconds_______

next2seconds _______

next2seconds _______