to T or not to T

[paulis]

Rec ball situation (I know, not real basketball). Team A is trailing in OT by one point when they make a basket in the closing moments. Team B, now trailing by one point, immediately requests a time out which I grant while noticing the clock tick from 0:01 to 0:00. Player B1, without realizing that I am going to put one second back on the clock for a B throw-in, picks up the ball and throws it down the court, displaying his frustration in thinking his team had just lost the game. Do you put the second on the clock and T player B1, put the second on the clock and ignore B1's throwing the ball down the court or would you even consider B1's reaction a T at all? (he was upset and did toss the ball far and hard) What would you have done?