## Two Dimensional Motion

• ${v}_{f}^{2}={v}_{i}^{2}+2a\mathrm{\Delta x}$
• ${v}_{f}={v}_{i}+at$
• ${v}_{{x}_{f}}={v}_{{x}_{i}}+{a}_{x}t$
• ${v}_{{y}_{f}}={v}_{{y}_{f}}+{a}_{y}t$
• $v={v}_{x}î+{v}_{y}ĵ$
• ${x}_{f}={x}_{i}+{v}_{{x}_{i}}t+\frac{1}{2}{a}_{x}{t}^{2}$
• ${y}_{f}={y}_{i}+{v}_{{y}_{i}}t+\frac{1}{2}{a}_{y}{t}^{2}$