The appropriate solution is "-87.6 cm/s". A complete solution is given below.
According to the question, the given values are:
Amplitude,
a = 11.3 cm
Time,
t = 0.702 sec
→ The velocity (v) will be:
= [tex]\pm w\sqrt{a^2-x^2}[/tex]
or,
= [tex]-\frac{2 \pi}{t} \sqrt{a^2-(\frac{a}{2} )^2}[/tex]
= [tex]-\frac{2 \pi}{t} \frac{\sqrt{3} }{2}a[/tex]
By substituting the given values, we get
= [tex]-\frac{2 \pi}{0.702} \frac{\sqrt{3}\times 11.3 }{2}[/tex]
= [tex]-8.946\times 9.7861[/tex]
= [tex]-87.6 \ cm/s[/tex]
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