8. make a rule: if the acceleration is constant and the starting velocity is zero, what is the relationship between the acceleration of a falling body (a), the time it takes to fall (t), and its instantaneous velocity when it hits the ground (v)?

The relationship between acceleration, velocity and time is .

Explanation:

As per the Newton's first law of motion.

Here,

Velocity at time is

Initial velocity is

Acceleration is

Time is

The initial velocity is zero. Put the for in above equation.

Thus, the acceleration of a falling body (a), the time it takes to fall (t), and its instantaneous velocity when it hits the ground (v) is .

Learn more about Law of motion here:

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In a uniform accelerated motion, the velocity at time t is given by:

where

is the initial velocity

a is the acceleration

t is the time

In this problem, we are told that the starting velocity of the body is zero (), so we can rewrite the previous equation as

and if we take t as the time the body takes to hits the ground, this relationship gives us the velocity of the body when it hits the ground.

freezing

deposition

condensation

explanation;

melting also called fusion is the process where solid becomes liquid, sublimation is the process where solid becomes gaseous without first changing to liquid, deposition involves change from gaseous to solid state, freezing involves change from liquid to solid, boiling or evaporation involves change of liquid to gaseous state, while condensation is the change from gaseous state to liquid state.

endothermic reactions involves absorption of heat from the surroundings or the environment while exothermic reactions involves loss of heat energy to the surroundings.

in this case, sublimation, evaporation and melting are endothermic reactions (gain energy from the environment) while, freezing, deposition and condensation are exothermic (loss of energy to the surroundings) reactions.

increase masses, decrease separation