In To the Rescue, a supply bundle is dropped from a helicopter. The bundle's height off the ground t seconds after it is dropped is given by the equation h(t) = 400 – 16t2 %3D - with h(t) measured in feet. Suppose the bundle can withstand the impact of hitting the ground only for speeds up to 165 feet per second. To determine whether the bundle will survive the fall, you need to find out how fast it is traveli when it hits the ground.

Q: The bacteria in a culture can be assumed to multiply at a rate that at any given moment is…

A:

Q: The following equation represents the relationship between hours of TV watched per day (x) and the…

A:

Q: A population of yeast cells can double in 6 hours. Assume an initial population of 4,000 cells.Write…

A:

Q: Assume that a runner runs a 100 meter sprint in 12.3 seconds. He accelerates steadily in the first…

A: The runner accelerates steadily in the first 25 meters. Let the acceleration be a m/s2 and suppose…

Q: Find the average daily inventory.

A: Given: A local pasta company receive 600 cases of alfredo sauce every 30 days. The number of cases…

Q: The following equation represents the relationship between hours of TV watched per day (x) and the…

A: Given dataŷ = -0.944x + 24.52x is the hours of TV watched per dayŷ is the number of situpspredicting…

Q: The revenue, in dollars, of a toy shop is modeled using R(x) = 200x - 5x² for x months after its…

A:

Q: A boy 1.6 metres tall is walking away from a lamp post 10 metres tall. if the boy is walking at the…

A:

Q: If a bullet from a pistol is fired straight up from the ground, its height t seconds after it is…

A: the bullet from a pistol is fired straight up from the ground, its height t seconds after it is…

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.