A boy walks from point C to point D which is 50 m apart. Then, he walks back to point C. what is his displacement of his whole j
1 answer:
Answer: D. 0 m
Explanation:
<u>Concept:</u>
Here, we need to know the concept of displacement.
Displacement is defined to be the change in position of an object.
The difference between displacement and distance is the total movement of an object without any regard to direction, while displacement is the pure change of position.
If you are still confused, please refer to the attachment below for a graphical explanation.
<u>Solve:</u>
<em>STEP ONE: the boy walks from point C to point D (a distance of 50 m)</em>
C ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ D
50 m
<em>STEP TWO: the boy walks from point D to point C (a distance of 50 m)</em>
D ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ C
50 m
<em>STEP THREE: find the displacement</em>
The boy <u>started </u>with point C
The boy <u>ended </u>with point C
He did not change his position throughout the journey.
Therefore, his displacement is <u>0 m</u>.
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<span>It's rate of gaining speed decreases.
The rate at which speed changes is called acceleration,
You can think of this problem as an inclined plane. But the angle of an inclined plane is constantly decreasing.
We know that on a frictionless inclined plane acceleration of an object is:
</span>
<span>Where g is the gravitational acceleration of the Earth and
is the angle of an inclined plane.
Using our analogy, the ball would start on an inclined plane with a 90-degree angle and that angle would continue to decrease to zero.
The sine function is 1 at 90 degrees and is equal to zero at 0 degrees. Since our acceleration is proportional to the sine, and sine function is decreasing with the angle, our acceleration is also decreasing.
</span>
<span>It's rate of gaining speed decreases.
The rate at which speed changes is called acceleration,
You can think of this problem as an inclined plane. But the angle of an inclined plane is constantly decreasing.
We know that on a frictionless inclined plane acceleration of an object is:
</span>
<span>Where g is the gravitational acceleration of the Earth and
Using our analogy, the ball would start on an inclined plane with a 90-degree angle and that angle would continue to decrease to zero.
The sine function is 1 at 90 degrees and is equal to zero at 0 degrees. Since our acceleration is proportional to the sine, and sine function is decreasing with the angle, our acceleration is also decreasing.
</span>