For each problem, write a function that represents the vertical motion described. Use the following equation...

   

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For each problem, write a function that represents the vertical motion described. Use the following equation for the model h(t)=-16t2 + vot + ho Then GRAPH your function in Desmos and answer the questions about each situation. 1. A catapult hurls a watermelon from a height of 36 feet at an initial velocity of 82 feet per second. a. Function: b. What is the MAXIMUM height the watermelon reaches? c. How far does the watermelon travel before it hits the ground? d. Do both x-intercepts "exist" in the Domain? Why or why not? 2. A catapult hurls a cantaloupe from a height of 12 feet at an initial velocity of 47 feet per second. a. Function: b. WHEN does the cantaloupe reach its maximum height? c. WHEN does the cantaloupe hit the ground? d. Do both x-intercepts "exist" in the Domain? Why or why not? 3. A catapult hurls a pineapple from a height of 49 feet at an initial velocity of 110 feet per second. a. Function: b. What is the maximum height the pineapple reaches? c. How far does the pineapple travel before it hits the ground? d. Do both x-intercepts "exist" in the Domain? Why or why not? For each problem, write a function that represents the vertical motion described. Use the following equation for the model h(t)=-16t2 + vot + ho Then GRAPH your function in Desmos and answer the questions about each situation. 1. A catapult hurls a watermelon from a height of 36 feet at an initial velocity of 82 feet per second. a. Function: b. What is the MAXIMUM height the watermelon reaches? c. How far does the watermelon travel before it hits the ground? d. Do both x-intercepts "exist" in the Domain? Why or why not? 2. A catapult hurls a cantaloupe from a height of 12 feet at an initial velocity of 47 feet per second. a. Function: b. WHEN does the cantaloupe reach its maximum height? c. WHEN does the cantaloupe hit the ground? d. Do both x-intercepts "exist" in the Domain? Why or why not? 3. A catapult hurls a pineapple from a height of 49 feet at an initial velocity of 110 feet per second. a. Function: b. What is the maximum height the pineapple reaches? c. How far does the pineapple travel before it hits the ground? d. Do both x-intercepts "exist" in the Domain? Why or why not?