Question

How 47.5 ms^ -2 and how t^-1/2 came?
my answer is coming 47 ms^-2 ​

Answer 1

$\boxed{ \blue{ \tt \: {a}^{n} = {na}^{n - 1}} }\\ \\ 2 \sqrt{t} = 2 {t}^{ \frac{1}{2} } \\ \\ 2 \: \: \frac{d}{dt} \: \: {t}^{ \frac{1}{2} } \\ \\ 2 \times \frac{1}{2} \times {t}^{ \frac{1}{2} - 1 } \\ \\ \large\bf \: {t}^{ - \frac{1}{2} } \: \: or \: \: \frac{1}{ \sqrt{t} }$

47.5 ms^-2 is correct.

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