Whose side are you on Officer?

A tank fires a projectile at an angle of 60 deg\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 45 deg\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 1670 m/s\si{1670\ \meter/\second} .
  • g=10 m/s2g=\si{10\ \meter/\second^2}
  • Report your answer to 3 decimal places.
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