A woman is reported to have fallen 178 ft from a building, landing on a metal ventilator box, which she crushed to a depth of 21 in. She suffered only minor injuries.
(a) Neglecting air resistance, calculate the speed of the woman just before she collided with the ventilator box.
(b) Calculate the magnitude of her average acceleration while in contact with the box.
(c) Calculate the time it took to crush the box.