Question

prove S=1/2at^2 using calculus

Answer 1

second equation of motion [2].

v = ds/dt
ds = v dt

ds = (v0 + at) dt

s
⌠
⌡ ds
s0 =
t
⌠
⌡ (v0 + at) dt
0
s − s0 = v0t + ½at2

s = s0 v0t + ½at2

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