A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.y, equals, minus, 16, x, squared, plus, 162, x, plus, 82y=−16x 2 +162x+82AnswerAttempt 1 out of 2

A rocket is launched in the air. Its height in feet is given by h, of, t, equals, minus, 16, t, squared, plus, 8, th(t)=−16t 2 +8t where tt represents the time in seconds after launch. How many seconds have gone by when the rocket is at its highest point?

ProblemEarlier, you were told about a toy rocket fired into the air from the top of a barn. Its height (hℎ) above the ground in yards after x𝑥 seconds is given by the function:h(x)=−5x2+10x+20ℎ(𝑥)=−5𝑥2+10𝑥+20What was the maximum height of the rocket? SolutionThe maximum height was reached by the rocket at one second as you found in part b from the previous example. It takes second to reach the maximum height. We will substitute that value in for x𝑥 in our function and simplify.The maximum height reached by the rocket was yards. What is the time it takes for the rocket to hit the ground? (Use a graph or any other method to solve.)It takes approximately seconds for the rocket to hit the ground. (Round to the nearest tenth.)CheckQuestion 9

A model rocket is launched from the deck in Jim’s backyard and the path followed by the rocket can bemodelled by the relation ℎ = −5% ! + 100% + 15, where ℎ, in meters, is the height that the model rocket reachesafter % seconds.a) What is the height of the deck?

A ball is thrown upwards from the ground with a speed of 80 ft/s. If the          height of the ball is given by the function h = 80t − 16t², where t is the time          in seconds. What is the maximum height that the ball will reach?1 pointA. 100 ftB. 120 ftC. 128 ftD. 132 ft

A rocket is fired vertically from theground. It moves upwards with aconstant acceleration of 10 𝑚/𝑠2. After30 seconds the fuel is finished. Afterwhat time from the instant of firing therocket will it attain the maximumheight? 𝑔 = 10 𝑚 /𝑠2: