What is the correct formula for calculating velocity?

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SUMMARY

The correct formula for calculating final velocity in accelerated motion is derived from the equation v² = u² + 2as, where s represents displacement, u is the initial velocity, a is acceleration, and t is time. In the provided example, with s = 1.3m, u = 0ms, a = 10, and t = 0.5099, the final velocity v is calculated as 5.1m/s. The formula v = s/t is applicable only for constant velocity motion, where acceleration equals zero. For accelerated motion, the average velocity can be expressed as (u + v)/2, leading to the conclusion that v = 5.1m/s.

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ok just say you have these values:

s=1.3m
u=0ms
v=?
a=10
t=0.5099

Now these values represent the vertical part of a vector..

now to work out velocity it uses a formula, v=s/t, = 1.3/0.5099 = 2.55ms... which is incorrect.. .

but using this formula.. v^2=u^2 + 2as
Plug in all the values
v= 5.1ms

why does this occur? is the velocity formula (s/t) only used when an object is in linear motion??
 
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v = s/t is only for constant velocity motion... ie when acceleration = 0.

for accelerated motion, you can say average velocity is s/t... but your question is asking for v which is final velocity...

you will notice that:

average velocity = (u + v)/2

s/t = (u+v)/2

2.55m/s = (0 + v)/2

gives v = 5.1m/s.

so you can think of it like that. But I recommend to only think of v = s/t for constant velocity motion...
 
thankyou again!
 

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