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

3910 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the coordinates of the maximum stationary point of the y = x^2 +4x curve.


If, f(x) = 8x^3 + 1 / x^3 . Find f''(x).


Given that x = cot y, show that dy/dx = -1/(1+x^2)


Compute the integral of f(x)=x^3/x^4+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