Calculations: Summary


Step 1: Determine the Distance Traveled

$$Distance (d) = {\sqrt{horizontal~distance^2 + vertical~drop^2}}$$


Step 2: Approximate Acceleration

$$Acceleration~(a)= g \times sin(\theta) - loss $$
Where: $$g = 9.81\frac{m}{s^2}$$ $$sin(θ) = \frac{vertical  drop}{distance (d)}$$ loss = can  be  read  from  the  experimentally  derived  graph

Step 3: Calculate Maximum Velocity

$$Maximum~Velocity (V_{max}) = \sqrt{2 \times a \times d}$$