Answer to Question #132134 in Mechanics | Relativity for alfraid

Question

a car is moving on ground with speed 3c/5 and a ball thrown from the car with velocity c/2 in upward directiom what is the velocity of ball with respect to ground.

Answer 1

To calculate the velocity of ball with respect to the ground we need to add velocity of the car and relative velocity of ball in respect to the car (but via relativistic velocity-addition formula):

$u = \frac{v+u'}{1+ \frac{vu'}{c^2}} = \frac{3c/5+c/2}{1+ \frac{3}{10}}= \frac{11}{10} \cdot \frac{10}{13} c = \frac{11}{13} c$