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

4180 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do I find and determine the nature of stationary points of a function?


How to transform graphs of functions?


What is the y-coordinate minimum point of y = 3x^2 + x - 4


Find the integral of the function y = ln(x)


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:

© 2026 by IXL Learning