. Aden jumped offa cliff into the ocean to show his friends that he is the bravest one of the bunch. His height as a function of time could be modeled by the function h(t) : 16t + 16t + 480, where t is the time in seconds and h is the height in feet. = - a. How long did it take for Aden to reach his maximum height?

Q: Emily's height while jumping on a trampoline can be given by the equation h = -16t2 + 16t + 5, where…

A: Maximum height

Q: Fill in each blank for the function f(x) = 3x - 6. solve for each   f(-4) f(4) f(-2) f(0)

A: Given function fx=3x-6.  We need to find following parts, f-4, f4, f-2, f0.

Q: A student launches a toy model rocket from the top of a building. The rocket lands on a target on…

A: We need to find height and time.

Q: Graph the function h (x)=-3x-2. 8

A:

Q: A skydiver free falls from a plane 100 feet above the ground. Which of the following equations could…

A: topic - quadratic equations

Q: The cost of producing xgallons of Slurm is given by the function ?(?) = 2? + 48. A gallon of Slurm…

A:

Q: The number of unwatched shows in Timo's DVR is 62. This number grows by 12 unwatched shows per week.…

A:

Q: A ball is thrown vertically upward. After t seconds, its height h (in meters) is given by the…

A: The equation for the height of the ball is given by ht=19.6t-4.9t2 where t is time in seconds. It is…

Q: A metal rod is placed in an oven and the temperature, T (measured in degrees celsius), of the metal…

A: Given ,  A metal rod is placed in an oven and the temperature, T (measured in degrees celsius), of…

Q: Mia jumps off a cliff into the ocean in Acapulco while on vacation.  Her height, h, above the water…

A:

Q: Lloyd and Randy are making a model rocket for a science project. On their first test run, the…

A:

Q: lan tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the…

A:

Q: The height of a hot air balloon, in feet, m minutes after takeoff is modeled by the function f(m) =…

A: Given : The height of a hot air balloon, in feet, m minutes after takeoff is modeled by the function…

Q: Susan earns 41 dollars per week working part-time at a book store. She makes one dollar more for…

A: Solutions

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.