A balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant when the balloon is 80 feet above the ground. (a) How many seconds after its release will the bag strike the ground

Complete question :

Assume the acceleration of the object is

a(t) = −32

feet per second per second. (Neglect air resistance.)

A balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant when the balloon is 80 feet above the ground.

2.80seconds

Explanation:

Given that

Acceleration (a) = - 32

Height (s) at which sandbag was dropped = 80feet, therefore, distance (h) = - 80

Initial Velocity (Vo) = 16, which is the Velocity of the balloon at the time of releasing the sandbag.

Using the second equation of motion:

H = Vot + 1/2at^2

Where t= time taken

Inputting our values :

-80 = 16t + 0.5(-32)(t^2)

-80 = 16t - 16t^2

-16t^2 + 16t + 80 = 0

-t^2 + t + 5 = 0

Using the quadratic formula:

(-b±√b^2 - 4ac) / 2a

Where : a = - 1, b = 1 and c = 5

Using the quadratic equation solver:

[-1±√1^2 - 4(-1)(5)) / 2(-1)]

The roots are:

2.7912878474779

-1.7912878474779

Discard the negative root,

Therefore, time taken = 2.7912878474779 = 2.80s

the box does not move because you need to use a force greater than 300 n. you are only using 50 n. it needs to at least be 301 n for the box to move because then it is an unbalanced force and it will move the way that the greater force is pushing it. if you use only 300 n it will be a balanced force and will not move because the force you are exerting on the   box is the same as its force.

hope this !

im sorry if i went too in depth, i am going to include a link to a video on khan academy that will explain this.   hope that you like the video and that it explains more in detail to you.

that is the link.

answer

procedural programming, object-oriented programming

explanation

procedural programming is a type of computer programming language that specifies a series of well structured steps and procedures   within its development period of time. it contains a systematic order of statements, functions and commands to complete a computational task or program. it is centered on creating procedures. while object oriented programming is a programming language that is centered on creating objects rather that actions and data rather than logic.. it has four principles which are inheritance, polymorphism, abstraction and encapsulation