To find an object's trajectory, start by identifying the forces acting on it, such as gravity, air resistance, and initial velocity. Next, use kinematic equations or Newton’s laws to calculate its motion, considering factors like launch angle and speed. Then, apply the equations of projectile motion: [tex]x=v[/tex]₀ cos(θ)[tex]t\\[/tex] for horizontal displacement and [tex]y=v[/tex]₀ sin(θ)[tex]t\\[/tex] [tex]-\frac{1}{2}gt[/tex]² for vertical displacement, where [tex]v[/tex]₀ is initial velocity, θ is the launch angle, [tex]g[/tex] is acceleration due to gravity, and [tex]t[/tex] is time. Finally, plot the object's path on a graph to visualize its curved trajectory, confirming calculations through experimental data if necessary.Click the photo