Projectile motion. how long does it take for the projectile to git the ground?

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Homework Help Overview

The discussion revolves around a projectile motion problem, specifically focusing on determining the time it takes for a projectile to hit the ground when launched from a height with a given angle and speed. Participants are constrained from using standard physics equations and are required to approach the problem using mathematical reasoning.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants express uncertainty about how to start the problem without using traditional physics equations. There is a suggestion to consider the trajectory as a quadratic equation, and questions arise about how to incorporate gravitational acceleration into their approach.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the constraints imposed on their problem-solving methods. Some guidance is being offered regarding the potential use of quadratic equations, but there is no consensus on how to proceed effectively.

Contextual Notes

Participants are explicitly restricted from using standard physics equations such as those involving acceleration due to gravity, which raises questions about the feasibility of solving the problem under these conditions.

hello_there
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I have no idea on where to start with this. Also we are not allowed to use The normal physics equations, we have to use maths.

At time t = 0 a projectile is fired from a height of h above level ground at an elevation angle
of a and a speed of v.

Show that the time when the projectile hits the ground will be
t =(vsin(a) + Sqrt( v2sin2(a) + 2hg))/g


thanks
 
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hello_there said:
Also we are not allowed to use The normal physics equations, we have to use maths.

Can you elaborate on this? It's obviously impossible to solve the problem without incorporating the acceleration due to gravity.
 
we we told we can't use the equations like v=u+at and v^2= u^2 + 2as to work it out
 
Hmmm, are you allowed to use the fact that the trajectory is a quadratic equation? It's hard to guess what's allowed without knowing what was presented in class. Is there an allowed equation that contains the gravitational acceleration g?
 
i guess we have to use a quadratic equation or there would be no way to do it, I'm just not sure how to incorperate g into the equation
 

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