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PLEASE HELP ME!!

Elena wants to find the height of the coaster when t = 8 seconds, 9 seconds, 10 seconds, and 11 seconds. Use synthetic division to find the height of the coaster at these times. Show all work.

User Rutger Huijsmans
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2 Answers

21 votes
21 votes

Final answer:

To find the height of the coaster at different times, use synthetic division and substitute the values of t into the equation h(t) = 16t - 1.5(t² - 5t) - 58.75.

Step-by-step explanation:

To find the height of the coaster at different times, we need to use synthetic division.

Given the quadratic equation t² + t - 20 = 0, the roots of the equation are t = -5 s and t = 4 s. Since the ball is released at t = 0, we discard the negative root.

Therefore, the height of the coaster at t = 8 s, 9 s, 10 s, and 11 s can be found by substituting the corresponding values of t in the equation h(t) = 16t - 1.5(t² - 5t) - 58.75.

User LorenzoBerti
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17 votes
17 votes

Answer:

h(8) = 76.8 ft h(9) = 91.8 ft h(10)= 80 ft h(11) = 19.8 ft

Step-by-step explanation:

User SMBiggs
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