Answer:
The speed of the mouse relative to the factory floor is 5 m/s.
Explanation:
Given that,
A factory conveyor belt rolls at 3 m/s, [tex]v_1=3\ m/s[/tex]
A mouse sees a piece of cheese directly across the belt and heads straight for the cheese at 4 m/s, [tex]v_2=4\ m/s[/tex]
To find,
The mouse's speed relative to the factory floor.
Solution,
The resultant velocity of the mouse is given by the resultant of two velocities. It is given by :
[tex]v=\sqrt{v_1^2+v_2^2}[/tex]
[tex]v=\sqrt{3^2+4^2}[/tex]
v = 5 m/s
So, the speed of the mouse relative to the factory floor is 5 m/s.