A balloon ascending at a rate of 12ft/s is at a height of 80ft above the ground when a package is dropped. How long does it take the package to reach the ground? (Hint: the acceleration due to gravity is 32ft/s2 downward. Use antiderivatives.) You may leave your answer in radical form.

t = 2.64 or

Step-by-step explanation:

v(t) =

v(t) = -32t + C

when t = 0, the velocity is 12

12 = -32(0) + C

C = 12

v(t) = -32t + 12

now finding position

when t = 0, position is 80

80 = 0 + C, C = 80

now finding when position = 0

0 =

0 =

t = -1.89, 2.64

t>0, so t = 2.64

w'x is 0.

hope it

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: