A stone, of mass m , falls vertically downwards under gravity through still water. The initial speed of the stone is u . Find an expression for v at time t .

  1. Ma = mg - Lmv        2) dv/dt = g-Lv 3)-1/L *(ln(g -Lv)/(g - Lu)) = t             4) g - Lv/ g - Lu = e-Lt 5) Rearrange to.... v = 1/L *(g-(g - Lu) e-Lt) Missed some steps as it was relatively long, can perform this fully in person during the interview if preferred. 
JW
Answered by Joseph W. Maths tutor

4030 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The curve has the equation y= (x^3)/(2x-1). Find dy/dx.


Solve the equation " 2sec^2(x) = 5tanx " for 0 < x < π


find the diffrential of 3sin2x+4cos2x


Let f(x) = x * sin(2x). Find the area beneath the graph of y = f(x), bounded by the x-axis, the y-axis and the line x = π/2.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning