Question

Given s=s⁰ + v⁰t + 1 gt? where s⁰, V⁰, and g are constants. Find
ds/dt
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Answer 1

Answer:

$\frac{ds}{dt} =v = v^{0}+gt$

Explanation:

It is    $s = s^{0}+v^{0}t+\frac{1}{2} gt^{2}$

Here, $\frac{ds}{dt}=\frac{d}{dt}(s^{0}+v^{0}t+\frac{1}{2}gt^{2} )$

              $= 0+v^{0}+gt$

Therefore, $\frac{ds}{dt} =v = v^{0}+gt$