A plane traveling horizontally at 100 m/s over flat ground at an elevation of 4000 meters must drop an emergency packet on a target on the ground. the trajectory of the packet is given by x=100t, y=-4.9t^2+4000, for t≥0, where the origin is the point on the ground beneath the plane at the moment of release. A: how many horizontal meters(to the nearest tenth of a meter) from the target should the packet be released in order to hit the target?
B: how far (to the nearest tenth of a meter) does the package travel from the moment of release until the time it hits the target?

A. 2857.1 meters

B. 4915.6 meters

Step-by-step explanation:

A.

First we need to find when the packet will hit the surface level, and we do this by finding the value of t when y = 0:

0 = -4.9t^2 + 4000

4.9t^2 = 4000

t^2 = 816.33

t = 28.571 s

Then, we use this time in the horizontal distance equation to find the value of x:

x = 100 * 28.571 = 2857.1 meters

B.

To find the distance between the inicial and final location of the package, we can use the Pythagoras' theorem with the horizontal and vertical distance traveled:

distance^2 = x^2 + y^2

Using x = 2857.1 and y = 4000, we have:

distance^2 = 2857.1^2 + 4000^2

distance^2 = 24163020.41

distance = 4915.6 meters

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !