Question

The average lifetime of a poodle dog is 13.0 years. How fast is it traveling, u, relative to an observer who measures the average lifetime to be 50.0 years? 4

Answer 1

The speed is 0.97 c.

Step-by-step explanation:

Given that,

Dilated time t'= 50.0 years

Rest time t = 13.0 years

We need to calculate the speed

Using formula of time dilation

`t'=\frac{t}{\sqrt{1-(v^2)/(c^2)}}`

Where, t' = change in time

t = rest time

v = velocity

c = speed of light

Put the value into the formula

`50.0=\frac{13.0}{\sqrt{1-(v^2)/((3*10^(8))^2)}}`

`v^2=((13)^2*(c)^2-(c)^2*50^2)/(50^2)`

`v^2= 0.9324c^2`

`v=0.97c`

Hence, The speed is 0.97 c.