Apencil rolls horizontally of a 1 meter high desk and lands .25 meters from the base of the desk. how fast was the pencil rolling when it left the desk?

0.55 m/s

Explanation:

This situation is related to projectile motion (also called parabolic motion), where the main equations are as follows:

(1)

(2)

Where:

is the horizontal displacement of the pencil

is the pencil's initial velocity

since we are told the pencil rolls horizontally before falling

is the time since the pencil falls until it hits the ground

 is the initial height of the pencil

 is the final height of the pencil (when it finally hits the ground)

 is the acceleration due gravity, always acting vertically downwards

Begining with (1):

(3)

(4)

Finding from (2):

(5)

(6)

Substituting (6) in (4):

(7)

Isolating :

(8)

(9)

Finally:

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.