First equation of motion derivation
Consider a body is moving with initial velocity “Vi” with uniform acceleration “a” as shown in figure.After time “t” its velocity becomes “Vf”.The total distance covered by a body is under the straight line AB which is shaded as shown in figure.The slope of line AB is acceleration “a”.1st equation of motion can be obtained easily from this speed time graph.
According to speed time graph slope of line AB gives the acceleration of a body.
This is the first equation of motion in terms of final velocity,initial velocity acceleration and time.
First equation of motion problems
- A car travelling at 10 m/s accelerates uniformly at 2 m/s.Calculate its velocity after 5 s.
Vi = 10 m/s
a = 2 ms¯²
t = 5s
Vf = ?
Vf = Vi + at
Vf = 10 m/s + (2 ms¯²)(5s)
Vf = 20 m/s
The velocity of car after 5s will be 20 m/s.