A factory conveyor belt rolls at 3 m/s. A mouse sees a piece of cheese directly across the belt and heads straight for the cheese at 4 m/s. What is the mouse's speed relative to the factory floor
A. 1m/s
B. 2m/s
C. 3m/s
D. 4m/s
E. 5m/s

Respuesta :

Answer:

mouse speed is 5 m/s

Explanation:

given data

belt roll b = 3 m/s

head straight h = 4 m/s

to find out

mouse speed s

solution

we will apply here pythagorean theorem

that is

s = [tex]\sqrt{b^{2} +h^{2} }[/tex]   ...........................1

put here value in equation 1 as b = 3 and h = 4

so

s = [tex]\sqrt{b^{2} +h^{2} }[/tex]

s = [tex]\sqrt{3^{2} +4^{2} }[/tex]

s = [tex]\sqrt{9 + 16 }[/tex]

s = [tex]\sqrt{25 }[/tex]

s = 5

so mouse speed is 5 m/s