two toy rockets are launched straight up into the air. the height, in feet, of each rocket at t seconds after launch is given by the polynomial equations shown. write an equation to find the difference in height of rocket a and rocket b. predict the difference in height after 5 seconds rocket a: d1=-16t2+122t rocket bd2=-16t2+84t

Question

Mathematics

Lydia Fields

26 January, 09:28

two toy rockets are launched straight up into the air. the height, in feet, of each rocket at t seconds after launch is given by the polynomial equations shown. write an equation to find the difference in height of rocket a and rocket b. predict the difference in height after 5 seconds rocket a: d1=-16t2+122t rocket bd2=-16t2+84t

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Answers (1)

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Kathryn · Answer 1

d₁ = - 16t² + 122t

d₂ = - 16t² + 84t

d = d₁ - d₂

d = - 16t² + 122t - (-16t² + 84t)

d = 38t

After five seconds, t=5,

d = 38 (5) = 190

Answer: 190 feet