Velocity from Distance (Constant Acceleration)
Velocity from Distance (Constant Acceleration)
When time is unknown, the velocity after a distance follows from the time-independent equation of motion.
The final velocity is v = √(u² + 2·a·s). where u is the initial velocity, a the acceleration and s the distance.
Inputs
u := 5 m/s=5 m/s
a := 2 m/s^2=2 m/s^2
s := 100 m=100 m
Apply the time-independent equation of motion.
v := sqrt(u^2 + 2·a·s)=20.62 m/s
Results
This avoids needing the time. Setting v to zero and solving for s instead gives a braking distance.
Assumptions & limitations
- Constant acceleration.
- Straight-line motion.
- Distance along the motion.