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

Related Maths A Level answers

All answers ▸

Differentiate (x^0.5)ln(x) with respect to x.


How does integration by parts work?


A curve C has equation y = x^2 − 2x − 24sqrt x, x > 0. Prove that it has a stationary point at x=4.


Find dy/dx of y=e^xcosx