Assume that the speed of light in a vacuum has the hypothetical value of 18.0 m/

Question

Assume that the speed of light in a vacuum has the hypothetical value of 18.0 m/s. A car is moving at a constant speed of 14.0 m/s along a straight road. A home owner sitting on his porch sees the car pass between two telephone poles in 3.38 s. How much time does the driver of the car measure for his trip between the poles?

An alien spacecraft flies from its home planet to earth, a distance of 5.98 light-years, according to the aliens on board. The constant velocity of the craft has a magnitude of 0.465c. Assuming that the alien planet and the earth are stationary with respect to one another, determine the distance between the alien planet and the earth, as measured by someone standing on either planet.

Explanation / Answer

T = t/sqrt(1 - (v/c)^2) = 3.38 sec is the observer's time interval;

solve for t = ?

the driver's comparable interval when

v/c = 7/9.

t = T sqrt(1 - (v/c)^2) = 3.38 sqrt(1 - 49/81) = 2.12 seconds give or take a tick

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