Solve Projectile Speed Problem: Intuition or Formula?

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The discussion revolves around solving a projectile speed problem using intuition versus formulas. The initial hypothesis suggests that two figures show different outcomes in terms of speed and height. It is clarified that both projectiles in figure 1 reach the same height, indicating equal vertical speed at launch, but one projectile (ball B) possesses greater horizontal speed. This results in ball B having more kinetic energy and, consequently, greater launch speed. The conversation emphasizes the importance of understanding both intuitive reasoning and the relevant formulas in projectile motion.
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Would anyone care to take a gander at this problem and help me find the solution.

What I think the answer is
figure 1: same
figure 2: less

figure 1: same
figure 2: smaller

I'm pretty much basing this off of intuition but if anyone could let me know what formula to use to solve the problem, i would appreciate it
 

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Jngo22 said:
Would anyone care to take a gander at this problem and help me find the solution.

What I think the answer is
figure 1: same
figure 2: less

figure 1: same
figure 2: smaller

I'm pretty much basing this off of intuition but if anyone could let me know what formula to use to solve the problem, i would appreciate it
Your answers to 1 are correct. The correct answer to question 2 is: smaller and smaller.

In figure 1 the balls reach the same height so they have the same vertical speed at launch BUT ball B has more horizontal speed. That means that B has more kinetic energy => more launch speed.

AM
 
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