Aripe pear falls from a tree and lands on the ground. as it hit the ground, the pear had a speed of 28 feet per second. approximately how far up in the tree was the pear before it fell? use the formula below, and assume that the acceleration due to gravity is 32 feet per second squared:

The potential energy is converted into kinetic energy.

 Therefore, for conservation of energy we have:

 mgh = (1/2) m * v ^ 2

 From here we clear the speed:

 v = root (2 * g * h)

 The height will then be:

 h = v ^ 2 / (2 * g)

 Substituting the values:

 h = (34) ^ 2 / (2 * (32))

 h = 18.0625 feet

  The pear before it fell was 18.0625 feet up in the tree.

c. (3,2,6) is the answer.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is