Thread: Applications of Calculus - maximum height

A body is projected vertically upwards from the ground in a medium that produces a resistance force per unit mass of , where v is the velocity and k is a positive constant. Given that the maximum height is Show that to double the maximum height, must be increased by a factor of
where is the initial velocity

Thanks

[ΜΑΤΗ]Η = \frac{1}{2k}ln(1 + \frac{k(v_o)^2}{g}[/tex]





.......(1)

For 2H, the equation (1) becomes

........(2)

Now divide (2) by (1) and simplify to find vo'

.......(1)

For 2H, the equation (1) becomes

........(2)

Now divide (2) by (1) and simplify to find vo'