# Whose side are you on Officer?

A tank fires a projectile at an angle of $\si{60\ \deg}$ with the horizontal to destroy a target. Immediately the Commanding Officer realizes that they have fired at one of their own outposts and orders the crew to fire another projectile at an angle of $\si{45\ \deg}$ after some time to destroy the earlier projectile in mid air. After how much time (in seconds) was the second projectile fired?

Details and Assumptions

• Muzzle velocity of both the projectiles is $\si{1670\ \meter/\second}$ .
• $g=\si{10\ \meter/\second^2}$