Projectile Questions: Solving Max Height & Xmax

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Homework Help Overview

The discussion revolves around a physics problem involving projectile motion, specifically calculating the maximum height and horizontal distance at maximum height for two different tosses of a tennis ball. The participants analyze the initial conditions and time of flight for each toss to derive relevant equations.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants explore the use of kinematic equations to find maximum height and horizontal distance, questioning the role of initial vertical velocity and the relationship between vertical and horizontal motion.

Discussion Status

Participants are actively engaging with the problem, offering guidance on applying equations and clarifying concepts. There is a focus on understanding the relationships between variables and the implications of projectile motion principles.

Contextual Notes

Participants note the absence of an angle in the problem setup and discuss the implications of initial height and time of flight on the calculations. There is an ongoing exploration of how to relate horizontal and vertical motions without assuming acceleration in the horizontal direction.

  • #31
Yes they do. And because the motion is not accelerated, how does ## \frac {s_1} {t_1} ## compare with ## \frac {s_2} {t_2} ##?
 
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  • #32
They are both constant?
 
  • #33
Of course they are constant, because they are ratios of constants. But that does not answer the question at all.
 
  • #34
Oh sorry I meant that the velocities are constant, but other than that I'm not sure.
 
  • #35
Are those two velocities different? Which one is higher?
 
  • #36
Is the first one higher?
 
  • #37
Why would it be? The motion, as you said, is not accelerated.
 
  • #38
Then they must be equal?
 
  • #39
Indeed. Any part of an unaccelerated path is traversed with the same constant velocity.

Now, you have total horizontal distance and total time.

You also have time to the apex, and and you need to find the horizontal distance to the apex.

Apply the results of the discussion to this.
 
  • #40
So I should set up a proportion of: time it takes to reach max height/x=time of total flight/distance of whole flight
 
  • #41
Exactly.
 
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  • #42
Thanks for helping me.
 

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