Solve Projectile Speed Problem: Intuition or Formula?

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SUMMARY

The discussion centers on solving a projectile speed problem by analyzing the relationship between vertical and horizontal speeds. It is established that while two balls may reach the same height, the ball with greater horizontal speed possesses more kinetic energy, indicating a higher launch speed. The conclusion drawn is that the ball with more horizontal speed will travel further, thus demonstrating the importance of understanding both components of 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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