Two simple harmonic motions are represented by the equations x_1=5 sin (2 π t +(π)/4) and x_2=5 √ 2 ( sin 2 π t + cos 2 π t ). The amplitude of…

Two simple harmonic motions are represented by the equations $\displaystyle x_1=5 \sin \left(2 \pi \mathrm{t}+\frac{\pi}{4}\right)$ and $\displaystyle x_2=5 \sqrt{2}(\sin 2 \pi \mathrm{t}+\cos 2 \pi \mathrm{t})$. The amplitude of second motion is \_\_\_\_ times the amplitude in first motion.