Physics: Motion & Kinematics: Challenge

# Hard Level Guide Stretch thinking with multi-step problems, application questions, and deeper reasoning. # Scalars and Vectors Scalars have magnitude only (speed, distance). Vectors have magnitude and direction (velocity, displacement, acceleration). Graphical vector addition uses head-to-tail method. # Displacement and Velocity Displacement is change in position with direction. Average velocity = Δx/Δt. Instantaneous velocity is velocity at one moment. Speed is magnitude of velocity without direction. # Acceleration Acceleration is change in velocity over time: a = Δv/Δt. Constant acceleration produces linear v-t graphs. Negative acceleration (deceleration) slows motion in the positive direction. # Kinematic Equations For constant acceleration: v = v₀ + at, x = x₀ + v₀t + ½at², v² = v₀² + 2aΔx. Free fall near Earth uses a ≈ 9.8 m/s² downward. Choose the equation that includes known and unknown variables.