(a) Find the position and velocity functions for the rock. s(t) = v(t) = (b) Find the average velocity (in ft/sec) over the interval (0, 2]. ft/sec (c) Find the instantaneous velocities (in ft/sec) at t =1 and t = 4. v(1) %3D ft/sec v(4) = ft/sec (d) How long (in sec) will it take the rock to hit the water? (Round your answer to two decimal places.) sec (e) Find he velocity (in ft/sec) of the rock when it hits the water. (Round your answer to one decimal place.) ft/sec
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
A rock is dropped from a tower on the Brooklyn Bridge, 279 feet above the East River. Let t represent the time in seconds.
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