Acceleration vs. Velocity Equations
Useful equations related to acceleration, average velocity, final velocity and distance traveled.
Average Velocity
v _{ a } = (v_{1} + v_{0} ) / 2 (1)
where
v _{ a } = average velocity (m/s)
v_{0} = initial velocity (m/s)
v_{1} = final velocity (m/s)
Final Velocity
v_{1} = v_{0} + a t (2)
where
a = acceleration (m/s^{2})
t = time taken (s)
Distance Traveled
s = (v_{0} + v_{1} ) t / 2 (3)
where
s = distance traveled (m)
Alternative:
s = v_{0} t + 1/2 a t^{2}(3b)
Acceleration
a = (v_{1}  v_{0} ) / t (4)
Alternative:
a = (v_{1}^{2} v_{0}^{2}) / (2 s) (4b)
Example  Accelerating Motorcycle
A motorcycle starts with an initial velocity 0 km/h (0 m/s) and accelerates to 120 km/h (33.3 m/s) in 5 s .
The average velocity can be calculated with eq. (1) to
v _{ a } = ((33.3 m/s)  (0 m/s)) / 2
= 16.7 m/s
The distance traveled can be calculated with eq. (3) to
s = ( (0 m/s) + (33.3 m/s) ) (5 s) / 2
= 83.3 m
The acceleration can be calculated with eq. (4) to
a = ( (33.3 m/s)  (0 m/s) ) / (5 s)
= 6.7 m/s^{2}
 compare with acceleration of gravity
Related Topics

Dynamics
Motion of bodies and the action of forces in producing or changing their motion  velocity and acceleration, forces and torque.
Related Documents

Acceleration
Change in velocity vs. time used. 
Acceleration Units Converter
Converting between units of acceleration. 
Average Velocity
Distance traveled vs. time used. 
Car Acceleration
Car acceleration calculator. 
Velocity Units  Online Converter
Convert between common velocity and speed units. 
Velocity Units Converter
Convert between speed and velocity units like m/s, km/h, knots, mph and ft/s.