Physics Motion Fa2835

1. Let's start by understanding the key concepts of uniformly accelerated motion, free fall, and projectile motion. 2. Uniformly accelerated motion means an object moves with a constant acceleration $a$. The main equations are: $$v = v_0 + at$$ $$s = v_0 t + \frac{1}{2} a t^2$$ $$v^2 = v_0^2 + 2as$$ where $v$ is final velocity, $v_0$ initial velocity, $a$ acceleration, $t$ time, and $s$ displacement. 3. Free fall is a special case of uniformly accelerated motion where acceleration $a = g = 9.8$ m/s$^2$ downward, and initial velocity may be zero or given. 4. Projectile motion involves two-dimensional motion with constant acceleration downward due to gravity. The horizontal motion has constant velocity, vertical motion is uniformly accelerated. 5. The key formulas for projectile motion are: Horizontal displacement: $$x = v_0 \cos \theta \cdot t$$ Vertical displacement: $$y = v_0 \sin \theta \cdot t - \frac{1}{2} g t^2$$ 6. To solve problems, identify known variables, choose the right equations, and solve step-by-step. 7. If you have specific problems, please share them, and I will guide you through the solutions.