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A car traveling at 36.6 m/s takes 38.0 minutes to travel a certain distance acco

ID: 1261623 • Letter: A

Question

A car traveling at 36.6 m/s takes 38.0 minutes to travel a certain distance according to the driver's clock in the car. How long does the trip take according to an observer at rest on Earth? Hint: The following approximation is helpful:

I'm looking for the tiny value associated with 38 mins here.....I'm talking e-11 values. I keep trying to use the formula but end up with an incorrect answer every time.

A car traveling at 36.6 m/s takes 38.0 minutes to travel a certain distance according to the driver's clock in the car. How long does the trip take according to an observer at rest on Earth? Hint: The following approximation is helpful: Earth? Hint: The following approximation is helpful: [1 - x)^1/2 ~ 1 + 1/2x for x

Explanation / Answer

Here ,

as t = 38 min

Now , for time dilation ,

t = to*sqrt(1 - (v/c)^2)

38 = to*(1 - (36.6/3*10^8)^2)

solving for to

to = 38 + 5.66 *10^13 min

the time taken is 38 + 5.66 *10^13 min

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