You are on the second floor of a building under construction, laying bricks of dimensions \(63 \mathrm{~mm} \times 89 \mathrm{~mm} \times 170 \mathrm{~mm}\). At your command, a coworker below tosses bricks up to you, and you catch them when they have risen \(5.0 \mathrm{~m}\) above the launch point. He tosses the bricks consistently so that, if untouched by you, they would rise to a maximum height of \(6.0 \mathrm{~m}\) above the launch point.

(a) Soon you both get good at this, and you know exactly how many seconds after you yell " \(3,2,1\), throw!" you should reach out and catch the brick on its way up. What is the length of this time interval if your coworker throws without delay at your command?

(b) If you miss a brick on the way up, during what remaining time interval can you reach out and catch the brick on its way down?