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

4153 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Let N be an integer not divisible by 3. Prove N^2 = 3a + 1, where a is an integer


Given the circumference x^2 - 2x + y^2 = 3, find the position of the center P and the value of the Radius. Then find the intercepts with the y axis and the tangent to the circumference at the positive y intercept.


Demonstrate that (2^n)-1 is not a perfect square for any n>2, n ∈ N.


f(x) = x^3 + 3x^2 + 5. Find (a) f ′′(x), (b) ∫f(x)dx.


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