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 ▸

How do I use simple integration?


A curve C has equation: x^3+2xy-x-y^3-20=0. Find dy/dx in terms of x and y.


Find (dy/dx) of x^3 - x + y^3 = 6 + 2y^2 in terms of x and y


The straight line L1 passes through the points (–1, 3) and (11, 12). Find an equation for L1 in the form ax + by + c = 0, where a, b and c are integers