Unit 5A Quadratic Inequality Remediation Assignment Maximum of 20 Points Highest grade a 70 Directions You can complete this assignment for a maximum of 20 points or a 70 In order to receive full credit all work must be shown The answers must be written in complete sentences You may choose 5 out of 7 problems 4 pts each Show all work and write your answer mathematically and in words DUE DATE Monday February 12 2024 during your class period NO LATE WORK ACCEPTED 1 A ball is thrown vertically upward with an initial velocity of 96 feet per second The distance s in feet of the ball from the ground after t seconds is s t 96t 16t a How many seconds will it take for the ball to strike the ground b Use interval notation to indicate the time s t where the ball is more than 128 feet above the ground 2 A scientist records the motion of a dolphin as it jumps from the water The function h t 16t 32t models the dolphin s height in feet above the water after t seconds Show all work and write your answer mathematically and in words Write and solve an inequality to determine when the dolphin is above 10 feet 3 A firework is shot straight up into the air with an initial velocity of 500 feet per second from 5 feet off the ground The function modeling the path of the firework is h t 16t 500t 5 where h t is the height in feet t seconds after it is shot in the air Show all work and write your answer mathematically and in words a At what time will the fireworks hit the ground b Write and solve an inequality that represents when the firework is at or above 2500 feet