A rock is dropped from a tower on the Brooklyn Bridge, 276 feet above the east river. Let t represent the time in seconds.
a.) write a model for the position of the function (assume air resistance is negligible.)
b.) find the average velocity during the first 2 seconds.
c.) find the instantious velocity when t=2 and t=3
d.) how long will it take before the rock hits the water ?
e.) when it hits the water, what is the rock's speed?
Find the marginal profit function
P= -0.0002x^3 + 6x^2 - x - 2000
The solution is attached below in two files. the files are identical in ...
Rate of change and derivatives are applied to a falling rock and to profit margin. The solution is detailed and well presented.