Ques 1: A rocket, rising vertically, is tracked by a radar station that is on the ground 5 mi from thelaunchpad. How fast is the rocket rising when it is 4 mi high and its distance from the radar station isincreasing at a rate of 2000 mi/h

A plane flying horizontally at an altitude of 2 mi and a speed of 540 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it has a total distance of 3 mi away from the station. (Round your answer to the nearest whole number.) mi/h

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?

Rachael shoots a rocket straight upward with an initial velocity of 4 meters per second from a height of 180 meters. The distance d (in meters) of the ball from the ground after t seconds is given by the equation d = 180 + 4t - 0.5g(t²), where gravity g is 9.8 m/s². After approximately how many seconds does the rocket strike the ground?(A) 5 seconds(B) 6.5 seconds(C) 8.5 seconds(D) 9 seconds(E) 10 seconds

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?