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?

of 5PDF ViewerW5 – Applications of Quadratics Unit 5MPM2DJensen1) 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?b) What is the height of the model rocket after 2 s?c) What is the maximum height reached by the model rocket?d) How long did the model rocket take to reach this height?e) How long was the model rocket above 200 m?f) How long the model rocket was in the air.2) A harbour ferry service has about 240 000 riders per day for a fare of $2. The port authority wants toincrease the fare to help with increasing operational costs. Research has shown that for every $0.10 increase inthe fare the number of riders will drop by 10 000.a) What increase in the fare will maximize the revenue?b) What is the new fare?c) What is the revenue that will be received from the new fare?3) A rectangular lawn measures 30 m by 40 m. Jason is cutting the lawn from the outside perimeter in towardthe center by cutting strips along the entire perimeter first, then continuing as he cuts toward the center. Howwide is the strip that has been cut along the outside when the area is half cut?

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

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 rocket, initially at rest, is fired horizontally with a horizontal acceleration of 12 m/s2. If the rocket is fired from a cliff 80 meters high, what is the distance in meters between the landing location and the bottom of the cliff? (Note: use g=10 m/s2).

A 500g model rocket with a weight of 4.9N is launched straight up. The small rocket motor burns for 5s and has a steady thrust of 20N, What altitude does the rocket reach when it runs out of fuel? Hint: Start by considering net thrust of the rocket A. 377m B.408m C.396m D.366m