How Can I Calculate Time Dilation Between Two Observers?

[crazynut52]

I have the attached equation
but when I plug it, I don't get the same answer as in the back of the book...

Here is the question

Two observers, A on earth, B in a spacecraft whose speed is 2.0X10^8 m/s both set their watches to the same time, when the ship is abreast the earth.

How much time must elapse by A's reckoning before the watches differ by 1.00 seconds?

 

[dicerandom]

What did you plug in? We can't help you if we don't know what you've tried to do.

 

[Mortimer]

I have the attached equation
but when I plug it, I don't get the same answer as in the back of the book...
Here is the question
Two observers, A on earth, B in a spacecraft whose speed is 2.0X10^8 m/s both set their watches to the same time, when the ship is abreast the earth.
How much time must elapse by A's reckoning before the watches differ by 1.00 seconds?

Hint: which one is bigger, T_0 or T_1?

 

[mijoon]

After approx 5.449 secs of Earth time, the spaceship will be 1 sec. behind.
In your thumbnail, Earth time should be on the left of the equation.