Height Question: Projectile launched from a table

Click For Summary

Homework Help Overview

The problem involves a toy car rolling off a table at an angle of 0 degrees with an initial velocity of 2.81 m/sec, and the goal is to determine the height of the table based on the horizontal distance traveled before hitting the ground.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply kinematic equations to find the height of the table but encounters a negative result, prompting questions about the signs used in their calculations.

Discussion Status

Participants are discussing the signs used in the equations, particularly regarding the direction of gravitational acceleration and displacement. Some guidance has been offered about maintaining consistency in sign conventions, but no consensus has been reached on the specific errors in the original poster's calculations.

Contextual Notes

There is a focus on the interpretation of positive and negative values in the context of vertical motion, and the original poster expresses a desire to understand their mistakes better.

fandomgeek_394
Messages
8
Reaction score
0

Homework Statement


A toy car rolls off of a table at an initial angle of 0 degrees and an initial velocity of 2.81 m/sec. The ball hits the floor 1.55 m (horizontally) from the edge of this table. How tall is the table?

Homework Equations

The Attempt at a Solution


So far I have:
Vo=(2.81 m/sec) * cos(0 degrees)=2.81 m/sec
Delta x= volt + one half at^2
1.55m=(2.81 m/sec) times t plus one half times (0) times t^2
t=1.55 m/2.81 m/sec=0.55 sec
Vo=(2.81 m/sec) times sin(0 degrees)=0 m/sec
Delta x=volt plus one half at ^2
Delta x= (0 m/sec) times (0.55) plus one half times (-9.8 m/sec) times (0.55 sec)^2=

The result I ended up getting was -1.48225 when I was done; I feel I know I must have made a mistake at some point, as the answer shouldn't have turned up negative. Someone I asked briefly on another site came up with the answer 1.488m for the problem; I'm just not quite sure what I got off. Could someone help me figure this one out please? I feel I'm close, but off somewhat. Thanks for the help & the patience, guys.
Really do want to learn, and whatever help you can give me in making sure I get this problem right would be very appreciated. :)
 
Physics news on Phys.org
The formula you used for the vertical motion gives you the displacement at time t. You took up as positive, making g negative. In falling to the floor, would you expect the displacement to be positive or negative?
 
Negative? I feel kind of ridiculous right now, but I still don't quite understand... Do you think you could tell me what lines in my data are off and what exactly in them I need to change? I think that would help me.
 
Was it the -9.8 in the problem that I got wrong? I just noticed that when I make that positive instead of negative, I get the positive answer.
 
fandomgeek_394 said:
Was it the -9.8 in the problem that I got wrong? I just noticed that when I make that positive instead of negative, I get the positive answer.
You have to decide whether to make up positive or down positive. It does not matter so long as you are consistent. If up is positive then both the gravitational acceleration and the displacement are negative.
 

Similar threads

Replies
2
Views
1K
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
10
Views
2K
Replies
40
Views
3K
Replies
15
Views
3K
  • · Replies 4 ·
Replies
4
Views
1K
Replies
12
Views
1K
  • · Replies 4 ·
Replies
4
Views
3K
Replies
3
Views
2K