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## Homework Statement

A 10 kg projectile is fired vertically upward from the ground, with an initial velocity of 50 m/s. Determine the maximum height to which it will travel if (a) atmospheric resistance is neglected, and (b) if atmospheric resistance is measured as Fd=(0.01 v2), where v is the speed at any instant, measured in m/s.

## Homework Equations

v[tex]^{2}[/tex]=u[tex]^{2}[/tex]+2as

## The Attempt at a Solution

Part (a) I know how to do.

v[tex]^{2}[/tex]=u[tex]^{2}[/tex]+2as

0=50[tex]^{2}[/tex]+2(-9.8)s

0=2500-19.6s

s=127.55m

But I can't do part (b). I don't know how to apply the air resistance to the answer.

Can anyone help?