Can You Solve the Problem of Projectiles with These Equations?

In summary, the conversation discusses how to find the conditions for tangency between two particles using equations involving initial speed, angle, and acceleration. The importance of showing work is also emphasized. The points where particle Q hits the ground and starts in relation to particle P are also mentioned.
  • #1
AIshikrakshit
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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
 

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  • #2
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?
 

FAQ: Can You Solve the Problem of Projectiles with These Equations?

What is the problem of projectiles?

The problem of projectiles is a physics concept that deals with the motion of objects that are thrown or launched into the air. It involves calculating the trajectory, distance, and velocity of the object as it moves through the air due to the force of gravity.

How is the problem of projectiles solved?

The problem of projectiles is solved using the equations of motion and the principles of projectile motion. These equations take into account the initial velocity, angle of launch, and gravity to determine the path of the object. Computer simulations and mathematical models are also commonly used to solve this problem.

What factors affect the trajectory of a projectile?

The trajectory of a projectile is affected by several factors, including the initial velocity, angle of launch, air resistance, and gravitational force. The shape and weight of the projectile can also have an impact on its trajectory.

How is the problem of projectiles used in real life?

The problem of projectiles is used in a variety of real-life scenarios, such as in sports like baseball and golf, where the trajectory of a ball is crucial for scoring points. It is also used in military applications for calculating the trajectory of missiles and artillery shells. Engineers also use this concept in designing structures like bridges and buildings to ensure they can withstand projectile impacts.

What are some common misconceptions about the problem of projectiles?

One common misconception is that the path of a projectile is a straight line, when in fact it follows a curved path due to the force of gravity. Another misconception is that the angle of launch has no effect on the distance traveled, when in reality a higher angle can result in a longer distance. Additionally, many people believe that objects with more mass will always travel further, but this is not always the case as factors like air resistance can also play a role in the trajectory of a projectile.

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