1. The problem statement, all variables and given/known data In the javelin throw at a track-and-field event, the javelin is launched at a speed of 23 m/s at an angle of 31° above the horizontal. As the javelin travels upward, its velocity points above the horizontal at an angle that decreases as time passes. How much time is required for the angle to be reduced from 31° at launch to 21°? 2. Relevant equations velocity & time: v = v0 + a * t 3. The attempt at a solution First I found the horizontal and vertical velocities when the angle is 31°: Vx1 = cos(31) * 23 = 19.7 Vy1 = sin(31) * 23 = 11.8 Then I found the horizontal and vertical velocities when the angle is 21°: Vx2 = Vx1 = cos(31) * 23 = 19.7 Vy2 = Vy1 + (-9.8) * t Lastly, in order to find t: tan(21) = Vy2 / Vx2 = ( 11.8 - 9.8 * t ) / 19.7 t ~= .44 seconds Apparently, this is not the right answer Please let me know what I am doing wrong. Thank you !