Select the correct answer from each drop-down menu.A roller coaster moves along an inclined linear path before it reaches its maximum height. The car moves at a constant speed and gains 4 meters in height every 3 seconds.The slope of the line that represents the height of the car in meters in terms of time in seconds is .If the car takes 54 seconds to reach the maximum height, then the maximum height above the ground is meters.

You have been asked to make a roller coaster more exciting. The owners want the speed at the bottom of the first hill doubled. How much higher must the first hill be built?

The height of a roller coaster at a given time is modeled by the polynomial function ℎ(𝑡)=(−0.01𝑡3+0.35𝑡2−3.5𝑡+10)(𝑡+5)2(𝑡−5)(𝑡+1)(2−𝑡)3h(t)=(−0.01t 3 +0.35t 2 −3.5t+10)(t+5) 2 (t−5)(t+1)(2−t) 3 , where t represents time in seconds. Find the turning point(s) of the height function.6758

The path of a swing could be modeled by the function , where h is the height in centimeters above the ground and t is the time in seconds. How many seconds does it take to reach maximum height after the person starts?a.0 seconds b.1.5 seconds c.2 seconds d.3 seconds

A roller coaster has a mass of 275 kg. It sits at the top of a hill with height 85 m. If it drops from this hill, how fast is it going when it reaches the bottom? (Assume there is no air resistance or friction.)A.40.8 m/sB.73.4 m/sC.29.9 m/sD.18.0 m/s

A roller-coaster car rolls down a track, reaching a speed of v0 at the bottom. If the height of the track is increased by a factor of 5.00, assuming the track is frictionless, by what factor will the speed at the bottom increase? 5.00 7.50 25.0 2.24