Asoccer player kicks a soccer ball of mass 0.45 kg that is initially at rest. the player's foot is in contact with the ball for 1.80 × 10-3 s, and the force of the kick is given by f(t) = [(7.01 × 105)t - (3.89 × 108)t2] n for , where t is in seconds. find the magnitudes of the following:
(a) the impulse on the ball due to the kick,
(b) the average force on the ball from the player's foot during the period of contact,
(c) the maximum force on the ball from the player's foot during the period of contact, and
(d) the ball's speed immediately after it loses contact with the player's foot.
number enter your answer for part (a) in accordance to the question statement units choose the answer for part (a) from the menu in accordance to the question statement

People with normal vision cannot focus their eyes underwater if they aren't wearing a face mask or goggles and there is water in contact with their eyes. in a simplified model of the human eye, the aqueous and vitreous humors and the lens all have a refractive index of 1.40, and all the refraction occurs at the cornea, whose vertex is 2.60 cm from the retina.with the simplified model of the eye, what corrective lens (specified by focal length as measured in air) would be needed to enable a person underwater to focus an infinitely distant object? (be careful-the focal length of a lens underwater is not the same as in air! assume that the corrective lens has a refractive index of 1.62 and that the lens is used in eyeglasses, not goggles, so there is water on both sides of the lens. assume that the eyeglasses are 2.05cm in front of the eye.)