SUVAT Equations PDF

SUVAT equations are used in kinematics to describe motion in a straight line under constant acceleration. The five variables involved are: ​ s = displacement (meters, m) ​ u = initial velocity (meters per second, m/s) ​ v = final velocity (meters per second, m/s) ​ a = accel...

SUVAT equations are used in kinematics to describe motion in a straight line under constant acceleration. The five variables involved are: ​ s = displacement (meters, m) ​ u = initial velocity (meters per second, m/s) ​ v = final velocity (meters per second, m/s) ​ a = acceleration (meters per second squared, m/s²) ​ t = time (seconds, s) There are five key SUVAT equations: 1.​ v = u + at ○​ Relates velocity, acceleration, and time. ○​ Use when displacement is not needed. 2.​ s = ut + ○​ Relates displacement, initial velocity, acceleration, and time. ○​ Use when final velocity is not given. 3.​ v² = u² + 2as ○​ Relates velocity, acceleration, and displacement. ○​ Use when time is not involved. 4.​ s = t ○​ Relates displacement, initial and final velocities, and time. ○​ Use when acceleration is unknown. 5.​ s = vt - ○​ Alternative form of the second equation. ○​ Use when initial velocity is not needed. Example Problem A car accelerates from rest at 2 m/s² for 5 seconds. Find its final velocity and displacement. Given: ​ u = 0 m/s ​ a = 2 m/s² ​ t = 5 s Final velocity: Using v = u + at: Displacement: Using s = ut + \frac{1}{2} at^2: The car reaches a velocity of 10 m/s and travels 25 m in 5 seconds. ​