4. A penny is dropped off the Empire State Building, which is 1,250 feet tall. Ifthe penny's pathway can be modeled by the equation h = -16ẞ² + 1250,how long would it take the penny to strike a 6-foot tall person?6=-16t² +125016+² + 1 = 1250679च4.. 8.82ť² = 11277#√√77.75;= 8.8178-82 sec5.516t2=124416t2 = 1244 16t²16t² = 12945. Some fireworks are fired vertically into the air from the ground at an initialspeed of 80 feet per second. The equation for this object's height h attime t seconds after launch is h = -162 + 80t. How long will it take thefireworks to reach the ground?2n=-16t² +80t===16++80)=0-16++80=05167 8016t=5 sec6. The Apollo's Chariot, a roller coaster at Busch Gardens, moves at 110 feetper second. The equation of the ride can be represented by theequation h = -162 + 101t+ 10. What is the maximum height reached bythis ride?6. 107. Eva is jumping on a trampoline. Her heighth at time t can be modeledby the equation h = -161² + 20t+ 6. Would Eva reach a height of 14 feet?8. An astronaut on the Moon throws a baseball upward with an initialvelocity of 10 meters per second, letting go of the baseball 2 metersabove the ground. The equation of the baseball pathway can bemodeled by h = -0.82 + 101 +2. The same experiment is done on Earth,, inwhich the pathway is modeled by equation h = -4.92² + 10t+ 2. Howmuch longer would the ball stay in the air on the Moon compared to onEarth?7..8..

Since first two questions are already solved correctly, i solve third question according to our…

Answered: 6. The Apollo's Chariot, a roller…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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6. The Apollo's Chariot, a roller coaster at Busch Gardens, moves at 110 feet per second. The equation of the ride can be represented by the equation h = -162 + 101t+ 10. What is the maximum height reached by this ride?