Lucy tells her classmates that while she was at the lake, she realized that when she dove underwater, she couldn't hear anything. lucy thinks this is because sound can not pass from the air into the water. is she right? a) it depends on how deep lucy dove. b) it depends on the volume of the sound. c) no, sound vibrations can pass from air to water. d) yes, sound vibrations can not pass from air to water.

(a) assume the equation x = at^3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.) (b) determine the dimensions of the derivative dx/dt = 3at^2 + b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)