A skydiver wants to jump out of a plane and be in free fall while she sketches some motion graphs for a Gr. 11 physics problem. She figures the quickest she can complete the sketches is 17 s. She then wants to open her parachute at the last moment so she can reach a safe velocity just when she reaches the ground. Generally, a skydiver can walk away unharmed when they hit the ground at 5.6 m/s. The average acceleration that the parachute can provide is 18.1 m/s2 [upwards].
How high will the plane be when she jumps? We can assume that she initially has no velocity in the vertical direction.