Can You Solve the Problem of Projectiles with These Equations?

Click For Summary
SUMMARY

This discussion focuses on solving projectile motion problems using the equations of motion: \(h=ut+\frac{1}{2}at^2\) and \(h=x\tan\theta-\frac{1}{2}g\frac{x^2}{u^2\cos^2\theta}\). Participants emphasize the importance of showing detailed work when attempting to solve these equations, particularly in relation to the conditions for tangency between two projectiles. Key questions raised include the relationship between the initial speed of particle P and the impact point of particle Q, as well as the starting conditions for particle Q.

PREREQUISITES
  • Understanding of basic kinematics and projectile motion
  • Familiarity with the equations of motion for projectiles
  • Knowledge of trigonometric functions, particularly tangent
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the derivation and application of the equations of motion for projectiles
  • Learn how to analyze projectile motion using graphical methods
  • Explore the concept of tangency in projectile motion scenarios
  • Investigate the effects of varying initial speeds and angles on projectile trajectories
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and projectile motion, as well as educators seeking to enhance their teaching methods in kinematics.

AIshikrakshit
Messages
1
Reaction score
0

Homework Statement


upload_2018-3-31_23-56-43.png


Homework Equations


$$h=ut+1/2at^2$$ $$h=x\tan\theta-1/2g\frac{x^2}{u^2\cos^2\theta}$$

The Attempt at a Solution


I tried to take a random angle theta for the lower particee and then using the equation of the upper particle tried to solve them together and find condition for tangency
 

Attachments

  • upload_2018-3-31_23-56-43.png
    upload_2018-3-31_23-56-43.png
    44.2 KB · Views: 785
Physics news on Phys.org
1) on this forum, "show your work" doesn't mean state that you have done some work, it means SHOW the work
2) what do you know about the point where particle Q hits the ground in terms of the initial speed of particle P?
3) what do you know about the starting point of particle Q in terms of the initial speed of particle P?
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 25 ·
Replies
25
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 3 ·
Replies
3
Views
5K
  • · Replies 21 ·
Replies
21
Views
2K
Replies
2
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K