Question

Define the equation of motion in 1 Dimension with uniform acceleration.​

Answer 1

Answer:

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Explanation:

Derivation of the equation by the calculus method:-

we know that,

• Acceleration, a=  dv/dt  

 

or, ∫  v u  1dv=∫  a 0  1dt

or,v=u+at

−2

     

     a=  

ds

VdV

​  

 

     a=  

ds

Vdv

​  

 

or,   ∫  

v

u

​  

VdV=∫  

s

0

​  

 ads

or,    

v  

2

 

(

​  

2)  

u

v

​  

=as

or,   v  

2

−u  

2

=2as

3−

 putting v=u+at in equation  

           V  

2

−u  

2

,

 (u+at  

2

)  

2

−u  

2

=2as

or, 2uat+a  

2

t  

2

=2as

or, s=ut+  

2

1

​  

at  

2