- #1
Laxman2974
- 15
- 0
A firecracker goes off in Houston, Texas. A time 0.0133 seconds later as measured by synchronized Earth clocks, another firecracker goes off in Great Falls, Montana 2400 km away as measured on earth.
a. How fast must a rocket ship travel if it is to be present at both events?
b. What will the rocket ship pilot measure to be the time interval between the two events?
Relevant equations: t = to / (1- v^2 / c^2)
to calculate the speed needed by the ship to be in both places I used:
s = d/t = 2400000 m / .0133 s = 1.8 x 10^8 m/s
I use this speed for part b to get the time perceived by the pilot
t = .0133 s / (1 - (180451127.8 ^2 / 299792458 ^2)
t = .0209s
I thought time would seem slower to the pilot, what did I do wrong here?
a. How fast must a rocket ship travel if it is to be present at both events?
b. What will the rocket ship pilot measure to be the time interval between the two events?
Relevant equations: t = to / (1- v^2 / c^2)
to calculate the speed needed by the ship to be in both places I used:
s = d/t = 2400000 m / .0133 s = 1.8 x 10^8 m/s
I use this speed for part b to get the time perceived by the pilot
t = .0133 s / (1 - (180451127.8 ^2 / 299792458 ^2)
t = .0209s
I thought time would seem slower to the pilot, what did I do wrong here?