what is the derivation of s is equal to UT plus half at square by calculus method
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Hi dont worry
Mansi tambi is here

s = ut + ½ at²
So far we have the equations: v = u + at and s = ½ (u+v) t
The second can be useful for finding displacement. However, if we don't know the final velocity, it's useless.
We could first work out v from "v = u + at". But let's be radical and substitute "v = u + at" into the second equation!
s = ½ (u + v) × t
s = ½ (u + u + at) × t
s = ut + ½ at²
A third equation, useful for finding displacement when you know the initial velocity, time and acceleration.
Hope you understand
Mansi tambi is here

s = ut + ½ at²
So far we have the equations: v = u + at and s = ½ (u+v) t
The second can be useful for finding displacement. However, if we don't know the final velocity, it's useless.
We could first work out v from "v = u + at". But let's be radical and substitute "v = u + at" into the second equation!
s = ½ (u + v) × t
s = ½ (u + u + at) × t
s = ut + ½ at²
A third equation, useful for finding displacement when you know the initial velocity, time and acceleration.
Hope you understand
sharadujjwal:
hey by calculas method
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