Playing a high-stakes game of basketball with a series of cartoon characters. The court has a total length of 28 meters measured in its own rest frame. The Street Sprinter, an animated lion on your team, can run at a maximum speed of ½ c. As measured in the rest frame of the court, a player on the opposing side throws a ball at ¼c from half court. At the same time, the Street Sprinter starts running at full speed from the full length of the court away. Call this time t=0. Draw a Space-Time diagram from the rest frame of the court with the Street Sprinter's initial position as the origin. Mark the following events on it, and find their spacetime coordinates (t,x) in the frame of the court and (t',x') in the frame of the Street Sprinter: A: The ball is thrown from half-court. B: The Street Sprinter takes off from the other side of the court C: The ball reaches the net D: The Street Sprinter reaches the net e) From the perspective of the referee in the court rest frame, does the ball or the Street Sprinter reach your basket first (or do they reach it at the same time)? f)What about from the perspective of the Street Sprinter? g) From the perspective of the Street Sprinter, which started moving first - them or the ball?
Playing a high-stakes game of basketball with a series of cartoon characters. The court has a total length of 28 meters measured in its own rest frame. The Street Sprinter, an animated lion on your team, can run at a maximum speed of ½ c.
As measured in the rest frame of the court, a player on the opposing side throws a ball
at ¼c from half court. At the same time, the Street Sprinter starts running at full speed
from the full length of the court away. Call this time t=0.
Draw a Space-Time diagram from the rest frame of the court with the Street Sprinter's initial position as the origin.
Mark the following events on it, and find their spacetime coordinates (t,x) in the frame
of the court and (t',x') in the frame of the Street Sprinter:
A: The ball is thrown from half-court.
B: The Street Sprinter takes off from the other side of the court
C: The ball reaches the net
D: The Street Sprinter reaches the net
e) From the perspective of the referee in the court rest frame, does the ball or the Street
Sprinter reach your basket first (or do they reach it at the same time)?
f)What about from the perspective of the Street Sprinter?
g) From the perspective of the Street Sprinter, which started moving first - them or the
ball?
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