Final answer:
To obtain the closed-form solution for the case where the jumper is initially at rest, use the equation x = 1/2 at².
Step-by-step explanation:
The closed-form solution can be obtained using calculus. First, identify the knowns: the initial velocity (vo) is 0, the acceleration (a) is given as 26.0 m/s², and the time (t) is given as 5.56 s. Next, substitute the known values into the equation for displacement (x):
x = xo + vot + 1/2 at²
Since the initial position (xo) and velocity (vo) are both zero, the equation simplifies to x = 1/2 at².