SUVAT Calculator
Find final velocity and displacement from u, a and t.
The SUVAT equations describe motion under constant acceleration.
How the Math Works
The SUVAT Calculator uses two fundamental equations from kinematics to determine motion characteristics. The first formula, v = u + at, calculates final velocity by adding the product of acceleration and time to the initial velocity. The second formula, s = ut + ½at², computes displacement by multiplying initial velocity by time, then adding half the product of acceleration and time squared. These equations assume constant acceleration throughout the motion period and relate the five key variables: initial velocity (u), final velocity (v), acceleration (a), time (t), and displacement (s).
Practical Applications
To use this calculator effectively, input the known values for initial velocity, acceleration, and time duration into their respective fields. The calculator will automatically apply both formulas to determine the final velocity and total displacement. For example, if a car starts from rest (u = 0) with a steady acceleration of 3 m/s² for 5 seconds, the calculator computes a final velocity of 15 m/s and a displacement of 37.5 meters. This tool eliminates manual calculation errors and provides instant results for physics problems involving linear motion with constant acceleration.
Day-to-Day Use
Understanding these calculations helps explain everyday phenomena like why cars need more distance to stop when traveling faster, or how long it takes for objects to fall from heights. Athletes use similar principles when calculating sprint speeds, while engineers apply them when designing vehicle safety systems or roller coasters. Even in sports like basketball or soccer, knowing how acceleration affects motion helps players optimize their movements and predict ball trajectories.
Worked example
u = 5, a = 2, t = 4 → v = 13 m/s, s = 36 m.
FAQ
Do these work with varying acceleration?
No — the SUVAT equations assume acceleration is constant.