1.
a person throws a shot put from height of 5 feet with an initial vertical
velocity of 40 feet per second. use the vertical motion model,
h = -16ť+ vt +s, where v is the initial velocity in feet per
second and s is the initial height in feet, to calculate the amount of
time the shot put is in the air before it hits the ground. round your
answer to the nearest tenth if necessary.
time in air:
seconds

2.61 s

Explanation:

We are given the following data:

is the initial height of the object

is the initial height of the object

In addition, the motion of the object is given by:

(1)

Where:

is the final height of the object

is the time the object is in the air before hitting the ground

Rewritting (1) with the given data:

(2)

Solving the quadratic equation with the quadratic formula , where , , and choosing the positive value of time:

(3)

(4) This is the time

t = 1/400 h   ⇔ 0.0025 h ⇔ 9s ⇔ 0.15 m

any of the answers are correct.