Question

Captain America and Ironman are in a helicopter hovering at 3000 m above ground. In an attempt to catch Thor and Loki, who are on the ground below, Ironman jumps out of the plane

and heads downward at a steady speed of 90.0 m/s. Two seconds later, Captain America steps out of the plane and begins to fall downward without air resistance.

a) Does Captain America catch up to Ironman?

b) If so, how long does it take and how far have they fallen? And, if not, how close do they come? Include a sketch of the position vs time graphs for Captain American and Ironman as part of your answer.

Answer 1

2. Yes, Because speed of the ironman I is constant wheile captain America, will move down ward with gravitationa acceleration so speed of captain America will increase by 9.81 m/s in each second dere to gravitational acceleration. catch ironman will Ameutica Let captain in time to four intonman distance = speed x time d = (go m/s ) x (t +2) d = gox (t+2) of , furom second low I America for captain motion 8 = uut + I auta 2

where u = o me (initial speed) 8= d acceleration) a = gravitational 9.8 m/2 d = o t 1 x g. 8 et ² d = 4.9 t 2 we put the value of d from equation is now = 4.9 t 2 go (t+2) = 4.9 te gout + 180 = 0 4.9 t? - got - 180 on quadratic equation we get solving this seconds It = 20.187 now from d = equation in 90x120.187 +2) metur d = 1996 83