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

3985 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the turning point of the line y = -2x^2 +5x -9


Find the equation of the tangent to: y = X^2 + 3x + 2 at the point (2,12)


(The question is too long so it's marked at the top of the answer space, sorry for any inconveniences)


Find the stationary points of the curve f(x) =x^3 - 6x^2 + 9x + 1


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