• Support PF! Buy your school textbooks, materials and every day products Here!

Analyzing the kinematic x(t) equation

  • Thread starter brusier
  • Start date
  • #1
27
0

Homework Statement



Solve the equation below for deltaX symbolically and simplify the answer as much as possible.

deltaY = (tan A)deltaX - g*deltaX^2/2V(initialx)^2

Homework Equations


quadratic equation.


The Attempt at a Solution



I can handle the algebra and simplification. My question comes as I analyze the equation as a kinematics problem. I assume the fnal term was gotten by the equation:

V(final)^2 = V(initial)^2 + 2ax. Therefore V(final) = 0 so there is a deceleration. But g is divided by this accel so I guess g is dependent on this acceleration??

I also found, that given the velocity v time graph, V(initial) = tan A.

Why wasn't this value used in the g*deltaX^2/2 V(initialx)^2 term?

Finally, because I don't see any t in the equation, I assume it can be used in terms of deltaX as well?? Or was the professor just testing our understanding of the quadratic equ?

Does this quation describe any familiar motion?
 
Last edited:

Answers and Replies

  • #2
rl.bhat
Homework Helper
4,433
5
deltaY = (tan A)deltaX - g*deltaX^2/2V(initialx)^2
Dimensionally this equation is not correct. One t is missing.
I also found, that given the velocity v time graph, V(initial) = tan A.
V initial cannot be tanA
 

Related Threads for: Analyzing the kinematic x(t) equation

Replies
3
Views
1K
Replies
5
Views
2K
Replies
12
Views
12K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
2
Views
4K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
2
Views
1K
Top