FORM 2-PHYSICS-TOPIC 6-MOTION IN STRAIGHT LINE
MOTION IN STRAIGHT LINE
Motion is the change of position of an object from one place to another. There are two types of motions; i.Circular motion-Is the motion of an object in a circle. Examples; a/. motion of the electron around the nucleus of an atom b/.revolutionary movement of the earth around the sun. ii.Linear motion-Is the motion of an object in a straight line.
Equation of Uniformly Accelerated Motion
Derive equation of uniformly accelerated motion
There are three equations of motion;
Newton’s first equation of motion
It is given by; v = u + at
whereby;
- u = initial velocity
- v = final velocity
- a = acceleration
- t = time taken
PROOF;
From the formula of acceleration; a = (v-u)/t
- at = v – u at + u = v
- v = u + at proved!
Newton’s second equation of motion
It is given by
whereas;
- s=distance travelled
- u=initial velocity
- t=time taken
- a=acceleration
PROOF;
Suppose an object starts from rest with intial vel,u to final vel,v after time t The distance ,S moved is given by S = Average vel x time S =( (u+v)/2)t
Substitute Newtons first eqn,gives; S = ((u+u+at)/2)t
S = ((2u+at)/2)t
S = ut + 1/2at. proved!
Newtons third equation of motion
It is given by V2 = U2+ 2as
where v=final velocity; u =initial velocity; a = acceleration; s = distance covered.
PROOF
From Newton’s first eqn; v = u + at
Equations of Accelerated Motion in Daily Life
