A plane traveling at a speed at 1300km/hr in a northerly direction at height of 5 km above the ground suddenly climbs at an anlge of 45 degrees to the horizon. Maintaining this speed and angle it releases a projectile as it passes through 7 km in altitude. How long does it take for the projectile to reach the earth? What is the maximum heigh about the ground achieve by the projectile? Please show work for both.