Velocity and Total Distance Table for Stone Dropped from Tall Building

In summary: Tom are playing catch. Michelle throws the ball to Tom who catches it and then immediately starts running towards the other end of the field. Tom covers the same distance in the same time as Michelle, but because he is moving faster, he covers a greater distance in the same amount of time. Tom's velocity is greater than Michelle's.
  • #1
celect
43
0
My question I don't understand how to add a colums for total distance.

Construct a table of values of velocity and total distance fallen at the end
of each half-second during the first 5 seconds for a stone at rest dropped
from a very tall building. Include columns for time, velocity, and total
distance


Time of Fall Velocity Aquired Distance
(seconds) (meters/seconds (meters/seconds
_______________________________________
0--------------------- 0---------------------0
0.5-------------------4.9--------------------1.225m/s
1--------------------- 9.8-------------------4.9m/s
1.5-------------------14.7-------------------11.025m/s
2 ------------------- 19.6------------------19.6m/s
2.5------------------24.5--------------------30.625m/s
3 -------------------- 29.4------------------44.1m/s
3.5-------------------34.3-------------------60.025m/s
4--------------------- 39.2------------------78.4m/s
4.5-------------------44.1-------------------99.225m/s
5--------------------- 49--------------------122.5m/s
 
Last edited:
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  • #2
Originally posted by celect
My question I don't understand how to add a colums for total distance.
I know you know how to find the distance an object falls as a function of time. Use the basic kinematics equation for accelerated motion.

(You won't need to add columns.)
 
  • #3
Originally posted by celect
My question I don't understand how to add a colums for total distance.

Construct a table of values of velocity and total distance fallen at the end
of each half-second during the first 5 seconds for a stone at rest dropped
from a very tall building. Include columns for time, velocity, and total
distance


Time of Fall Velocity Aquired
(seconds) (meters/seconds
_______________________________________
0--------------------- 0
0.5-------------------4.9
1--------------------- 9.8
1.5-------------------14.7
2 ------------------- 19.6
2.5------------------24.5
3 -------------------- 29.4
3.5-------------------34.3
4--------------------- 39.2
4.5-------------------44.1
5--------------------- 49
total = d=49m
 
  • #4


Originally posted by celect
total = d=49m
No. What you've done is give a table with columns for time and speed, not distance. I think you need a table with three columns: time, speed, and distance.

[tex]V=at[/tex]

[tex]D=\frac{1}{2}at^2[/tex]
 
  • #5
I'm hoping someone can help me.

I'm working on this same Velocity table and need to understand a couple things. Is velocity the same as the speed... it should be should it? also, I'm looking for distance and while I have these equations I'm not sure what to do? Physics online is a little more difficult then I realized. But I feel if I get thru the initial reminders of calculus, I'll be just fine.

If someone could do an example even unrelated... it would be sooo helpful. thank you

Using the formulas V=aT & D=1/2aT2

..........V=aT...D=1/2aT2
T2=Time...a or g = Speed m/s... V=Velocity...Distance
0......0......0......0
.5.....4.9.......2.45
1......9.8.......9.8
1.5......14.7......22.05
2......19.6......39.2
2.5......24.5......61.25
3......29.4......88.2
3.5......34.3......120.05
4......39.2......156.8
4.5......44.1......198.45
5......49......245


Is this right so far?
Michelle
 

1. What is a Velocity Table?

A Velocity Table is a scientific tool used to measure and record the velocity of an object. It typically consists of a long, narrow surface with markings or sensors to detect the movement of an object.

2. How does a Velocity Table work?

A Velocity Table works by using sensors or markings to detect the movement of an object. The sensors or markings are connected to a computer or data recording device, which records the time and position of the object. By analyzing this data, the velocity of the object can be calculated.

3. What are the applications of a Velocity Table?

A Velocity Table is commonly used in physics experiments and studies to accurately measure the velocity of objects in motion. It can also be used in engineering and sports to analyze the movement and speed of athletes or vehicles.

4. How accurate is a Velocity Table?

The accuracy of a Velocity Table depends on the quality of the sensors or markings used, as well as the precision of the data recording device. However, with proper calibration and use, a Velocity Table can provide highly accurate measurements of an object's velocity.

5. Can a Velocity Table measure the velocity of any object?

A Velocity Table is typically designed for measuring the velocity of objects with linear motion. However, with the use of additional sensors or adjustments, it can also be used to measure the velocity of objects with rotational or circular motion.

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