Anonymous From: - Posts: - Votes: - |
Under certain assumptions, the velocity v(t) of a falling raindrop at time t is given by the formula below, where g is the acceleration due to gravity and b is the terminal velocity of the raindrop. Find the limit as t approaches infinity of v(t). v(t) = b(1 - e^(-gt/b)) |

Anonymous From: - Posts: - Votes: - |
As t grows very large, the term exp[-gt/b] grows very small, and v(t)->b, so that b is the speed of the drop at large t and is called the terminal velocity |

Anonymous From: - Posts: - Votes: - |
Another way:- The limit is b. When t ->infinity, e^(-infinity) -> 0, so v(infinity) = b(1 - 0) = b, that's why b is called the terminal velocity. The terminal velocity is a velocity that will not be exceeded. |

- Find F '(x) For Each Of Thefollowing... ,
- X = E2t , Y = T +1a) Eliminate The Parameter To... ,
- ACCELERATION amp; NEWTON'S LAW A BODY MASS 2... ,
- If A Snowball Melts So That Its Surface Area... ,
- In Order Sketch The Graph We Need To Find The... ,
- When Taking The Particular Solution Of 2y" + 3y'... ,
- Find Two Numbers Whose Difference Is 100 And... ,
- I'm Given The Equation F(x,y) = -4x3 + 4xy - 2y2... ,
- Determine Whether The Given Sequence Is... ,
- Determine Whether The Given Sequence Is... ,
- I Would Just Like To Have The Problemed Solved To... ,
- R = F(#952;)= 1+2Cos3#952;r = F(#952;)= 2+Cos... ,
- T(dy/dt)+2y=sint ,
- For R(u,v)=2cos U I + v J+ 2sin U K, Find The... ,
- Find A Vector Valued Function Whose Graph Is The... ,
- I NEED HELP WITH THIS GEOMETRY QUESTION!!!!!? ,
- Do you memorize formulas for math? ,
- How to find constant k for a continuous function? ,
- How to find constant k for a continuous function? ,
- How to find constant k for continuous function? ,
- Find approximations to two decimal places for the coordinates of the point (x,y)? ,
- How to make the TI-83 "Solver" faster? ,
- What kind of math class does a high school student usually take every year? ,
- Math question help please!! please help!!? ,
- Integral question! Sqrt(6x - x^2)? ,

Copyright © 2019 YouGotMath.com | All Rights Reserved | Terms of Service