Is My Calculation of 81.48 Meters in Projectile Motion Correct?

In summary, the conversation revolves around solving a problem involving height and distance. The speaker advises the other person to break the problem into segments and to work algebraically instead of plugging in numbers right away. They also mention the importance of organizational skills and using the correct formula.
  • #1
Kingyou123
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Homework Statement


Check for first upload

Homework Equations


I wrote them down in my attempt at a solution

The Attempt at a Solution


Second upload, 81.48 meters high seems really wrong to me...
 

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  • #2
As an aside, looking at your work is hard to follow. I think you could work on your organizational skills and hold off a bit more before plugging in numbers.

Your height at 95 meters downrange is incorrect, why don't we break this problem into segments. What are you trying to find initially to solve this problem?
 
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  • #3
Since the launch angle is 45 degrees, you can make use of the fact that vx = vy for the components of initial velocity.
 
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  • #4
The formula you quote at the end of line 6 (d= etc.) is only valid when there is no net vertical displacement.
I heartily endorse Student100's advice to avoid plugging in numbers until the very end. Work the algebra entirely symbolically. Much easier to follow, to check for dimensional consistency, to spot algebraic mistakes...
 
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FAQ: Is My Calculation of 81.48 Meters in Projectile Motion Correct?

What is projectile motion?

Projectile motion is the motion of an object that is launched or thrown and moves along a curved path due to the influence of gravity.

How do you solve a projectile motion problem?

To solve a projectile motion problem, you need to first identify the initial velocity, launch angle, and time of flight. Then, using the equations of projectile motion, you can calculate the horizontal and vertical components of the object's position, velocity, and acceleration at different points in time.

What are the key equations used in projectile motion problems?

The key equations used in projectile motion problems are the equations for horizontal and vertical displacement, velocity, and acceleration, which are derived from the principles of kinematics and the laws of motion.

What are some common mistakes to avoid when solving a projectile motion problem?

Some common mistakes to avoid when solving a projectile motion problem include not considering the effects of air resistance, not using the correct units, and not properly identifying the initial conditions of the object's motion.

How can I check if I did a projectile motion problem correctly?

You can check if you did a projectile motion problem correctly by comparing your results to those obtained by using a projectile motion calculator or by solving the problem using a different method. Additionally, you should double check your calculations and units to ensure they are correct.

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