Answer:
The speed of the shadow is -193 cm/s.
Explanation:
Give that,
The x-coordinate of the shadow is given by the following function is given by :
[tex]x(t)=45\cos \pi t[/tex]
We need to find the speed of the shadow. The speed of particle in terms of displacement is given by :
[tex]v=\dfrac{dx}{dt}\\\\v=\dfrac{d(45\cos (\pi t))}{dt}\\\\v=-45\pi \sin (\pi t)\ ..........(1)[/tex]
At t = 1/4 seconds,
[tex]v=-45\pi \sin (\dfrac{\pi}{4})\\\\v=-1.93\ m/s\\\\v=-193\ cm/s[/tex]
So, the speed of the shadow is -193 cm/s.
