Position of Object Dropping from 100 ft: t=0, x=0?

In summary, the author has defined the point at which the object is dropped as x = 0 and the point on the ground as x = 100. It is not wrong to consider x = 100 when t = 0, but it depends on the choice of coordinates made by the author. The choice of positive and negative directions for x can also affect the value of x at different points in time.
  • #1
foo9008
678
4

Homework Statement



for part b , why when t = 0 , x= 0 , why not x =100 ? the author gave that the object drop from height of 100ft at the start of the question.

Homework Equations

The Attempt at a Solution

 

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  • #2
foo9008 said:

Homework Statement



for part b , why when t = 0 , x= 0 , why not x =100 ? the author gave that the object drop from height of 100ft at the start of the question.

Homework Equations

The Attempt at a Solution

The author is defining the point at which the object is dropped as x = 0, and the point on the ground as x = 100.
 
  • #3
Mark44 said:
The author is defining the point at which the object is dropped as x = 0, and the point on the ground as x = 100.
Is it wrong to consider x=100 when t=0??
 
  • #4
foo9008 said:
Is it wrong to consider x=100 when t=0??
Yes, if you're trying to follow the author's work.
 
  • #5
There are no "coordinates", x, y, t, etc. automatically given by a physical situation- you define those yourself. Here, where we have an object dropped from a height we can choose to take x to be 0 at the ground, in which case x(0)= 100, or we can choose to take the x to be 0 at the point from which the object was dropped so that x(0)= 0. We can also choose in which direction to take x to be positive or negative.
 

Related to Position of Object Dropping from 100 ft: t=0, x=0?

1. What is the initial position of the object when it is dropped from 100 ft?

The initial position of the object when it is dropped from 100 ft is 0 ft.

2. How long does it take for the object to reach the ground?

It takes approximately 4.5 seconds for the object to reach the ground.

3. What is the equation used to calculate the position of the object at any given time?

The equation used to calculate the position of the object at any given time is x = -16t^2 + 100, where t is the time in seconds and x is the position in feet.

4. Does air resistance affect the position of the object?

Yes, air resistance does affect the position of the object. However, for objects dropped from a height of 100 ft, the effect of air resistance is usually negligible.

5. How can the position of the object be determined at a specific time?

The position of the object at a specific time can be determined by plugging in the time value into the equation x = -16t^2 + 100 and solving for x, which represents the position in feet.

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