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( b ) A projectile is fired from ground level with an initial velocity u ms at an angle of 0 to the horizontal. The
( b ) A projectile is fired from ground level with an initial velocity u ms" at an angle of 0 to the horizontal. The air resistance is directly proportional to the velocity, with & the constant of proportionality. Assume that the equations of motion are: ucose X= k -4 ) 10+ kusine y= (1-e- )_ 10 k where (x, y) are the coordinates of the projectile at time / seconds. Do NOT prove these equations. The projectile is fired at an angle of 60, with initial velocity 10v/3 ms and k = 0.4. (i) Find the time when the projectile reaches its greatest height. 2 (ii) The projectile hits the ground when ? = 2.6 seconds. Find the magnitude and 3 direction of the velocity of the projectile when it hits the ground
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