1. Let's start by stating the problem: You want to learn about the equations of linear motion, specifically Form 2. 2. Linear motion equations describe the motion of an object moving in a straight line with constant acceleration. 3. The second equation of motion (Form 2) is: $$s = ut + \frac{1}{2}at^2$$ where: - $s$ is the displacement (distance moved in a specific direction), - $u$ is the initial velocity, - $a$ is the constant acceleration, - $t$ is the time elapsed. 4. This formula helps us find the displacement when we know the initial velocity, acceleration, and time. 5. Important rules: - Displacement $s$ can be positive or negative depending on direction. - Acceleration $a$ is positive if speeding up, negative if slowing down. - Time $t$ is always positive. 6. Let's do an example: Suppose an object starts with an initial velocity $u=5$ m/s, accelerates at $a=2$ m/s$^2$, and moves for $t=3$ seconds. 7. Substitute values into the formula: $$s = 5 \times 3 + \frac{1}{2} \times 2 \times 3^2$$ 8. Calculate step-by-step: $$s = 15 + \frac{1}{2} \times 2 \times 9 = 15 + 9 = 24$$ 9. So, the displacement after 3 seconds is 24 meters. This is how you use the second equation of linear motion to find displacement.