Solve motion equations: v = u+at | s = ut+½at² | v² = u²+2as | Kinematics Solver
Result
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📝 Step-by-step solution
Select equation & enter values
📐 Leave exactly ONE field empty to solve for it | SI units (m, m/s, m/s², s)
📖 How to Use This Physics Calculator
1
Select what to solve for - Choose Final Velocity (v), Displacement (s), Acceleration (a), Initial Velocity (u), or Time (t).
2
Enter known values - Fill in the known variables (leave exactly ONE field empty).
3
Click "Calculate" - Get the result with step-by-step solution using the appropriate SUVAT equation.
⚡ Understanding Kinematic Equations (SUVAT)
The SUVAT equations describe motion with uniform (constant) acceleration. They are essential for solving physics problems involving moving objects.
s = displacement (distance traveled in meters)
u = initial velocity (starting speed in m/s)
v = final velocity (ending speed in m/s)
a = acceleration (rate of velocity change in m/s²)
t = time (duration in seconds)
📊 SUVAT Equations
Equation 1: v = u + a·t Equation 2: s = u·t + ½·a·t² Equation 3: v² = u² + 2·a·s Equation 4: s = ½·(u + v)·t
💡 Real-World Applications
Free Fall: Calculating time and velocity of falling objects (a = g = 9.8 m/s²)
Vehicle Motion: Determining stopping distance, braking time, and acceleration
Projectile Motion: Analyzing vertical and horizontal components of motion
Spacecraft Launch: Calculating required acceleration and velocity changes
Sports Physics: Analyzing sprint times, ball throwing, and jumping heights
❓ Frequently Asked Questions
What does uniform acceleration mean?
Uniform acceleration means the acceleration is constant - it doesn't change over time. Examples include free fall near Earth's surface (g = 9.8 m/s²) and objects moving with constant force.
What is the acceleration due to gravity?
On Earth, acceleration due to gravity (g) is approximately 9.8 m/s² downward. For free fall problems, use a = 9.8 m/s².
Can acceleration be negative?
Yes! Negative acceleration (deceleration) means the object is slowing down. Example: a car braking with a = -5 m/s². Our calculator handles negative numbers correctly.
What is the difference between displacement and distance?
Displacement (s) is the straight-line distance from start to end position with direction. Distance is the total path length traveled. In these equations, s represents displacement.