Aperson starts at a position of 29 meters and finishes at a position of 2 meters. the trip takes 4.5 seconds. what is the person's average velocity? what is the person’s average speed?

Speed= 6 m/s

Velocity=-6 m/s or 6 m/s to the left

Explanation:

Speed is a scalar quantity and is always positive, while velocity is a vector; hence it must have a direction and a module (the speed).

In other words, the speed is the module of te velocity vector.

In this sense, average velocity and average speed are defined as:

(1)

Where is the object's variation in position and is the time

(2)

Where is the distance traveled and is the time of travel

Now, according to the given information, the person started at an initial position and finished at a final position .

This means the variation in position (assuming the person is moving along the X-axis or horizontally) is:

And

Then, the average velocity is:

(3)

(4) As we can see, the negative sign indicates the direction, which is to the left (or to the West if the person is traveling along a West-East highway, for example)

On the other hand, if we calculate the distance traveled by this person we have to take the difference between the two points:

As we know the time of travel is also , the average speed is:

(4)

(5)

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.