Respuesta :
Answer:
The radius r of this circle as a function of the time t :
[tex]r(t)=35\times t[/tex]
Step-by-step explanation:
Speed of the circular ripple = S = 35 cm/s
Radius of the ripple at time t = r
[tex]Speed=\frac{Distance}{Time} [/tex]
[tex]35cm/s=\frac{r}{t}[/tex]
[tex]r=35 cm/s \times t[/tex]
The radius r of this circle as a function of the time t :
[tex]r(t)=35\times t[/tex]
The radius r of this circle is a function of the time t (in seconds) is 35t.
Given that
A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 35 cm/s.
We have to determine
The radius r of this circle is a function of the time t (in seconds).
According to the question
Speed of the circular ripple = S = 35 cm/s
Radius of the ripple at time t = r
Then
The radius r of this circle is a function of the time t (in seconds) is determined by the following formula;
[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]
Substitute all the values in the formula;
[tex]\rm Speed = \dfrac{Distance}{Time}\\ \\ 35 = \dfrac{r}{t}\\ \\ r = 35 \times t\\ \\ r = 35t[/tex]
Hence, The radius r of this circle is a function of the time t (in seconds) is 35t.
To know more about the Distance formula click the link given below.
https://brainly.com/question/2094864
