Free falling is a one of most exciting attractions in amusement parks. The model of such attraction is shown in Figure 1. A platform with passengers (total mass is 2.5 tons) has been lifted up a steal mast of 50 m height. At the moment t = 0 s it begins free falling by sliding down the mast with no friction. At which moment the brake should be activated to provide smooth landing with zero speed at the ground level? The brake device provides a force of 40.3 kN in the direction opposite to the velocity.

 

V=0 V #0 V=0 brake is off, t=0s. height is 50 m. brake is on, t=?s. brake is on. height is 0 m. Figure 1 for Problem 2