Congratulations on scoring 110/110! Here's a breakdown of the key concepts behind each problem you solved:

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1. Horizontally Launched Bullet:

   • The bullet's motion in the x-direction is determined by its horizontal velocity and the time it takes to fall to the ground. Using free-fall equations for vertical motion ($y = \frac{1}{2} g t^2$), we can calculate the time to hit the ground, and then multiply it by the horizontal velocity to find the distance traveled.

2. Coin Rolling Off the Table:

   • The height of the table can be found using the horizontal distance ($x$) and horizontal velocity ($v_x$). Calculate the time ($t$) it takes to land using $x = v_x t$, then use $y = \frac{1}{2} g t^2$ to determine the height.

3. Throwing a Snowball:

   • To hit the target, the snowball must travel 15 m horizontally while falling 6 m vertically. This involves solving for the horizontal velocity required to achieve that distance within the same time it takes to fall 6 m ($t = \sqrt{\frac{2y}{g}}$).

4. Horizontally Hit Baseball:

   • Similar to the first question, the horizontal distance is determined by the time it takes for the baseball to fall 1 m vertically. Time is calculated from $y = \frac{1}{2} g t^2$, and horizontal distance is $x = v_x t$.

5. Pelican Dropping a Fish:

   • The fish’s overall velocity upon hitting the ground is the resultant of its horizontal velocity ($v_x = 6.0 \, \text{m/s}$) and vertical velocity ($v_y = g t$). Use the Pythagorean theorem to calculate the resultant velocity.

6. Football Kick (Bonus):

   • For projectile motion, horizontal ($v_x = v_0 \cos \theta$) and vertical ($v_y = v_0 \sin \theta$) components of velocity are determined using trigonometric functions.

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If you'd like, I can elaborate further on any specific concept or question. Here are five related questions to deepen your understanding:

1. How does air resistance affect horizontally launched projectiles in real-world scenarios?
2. What is the significance of breaking motion into horizontal and vertical components in projectile motion problems?
3. How can you determine the maximum height and range of a projectile launched at an angle?
4. What happens to the velocity of a projectile in the vertical direction during free fall?
5. How would you solve a problem where the launching point and landing point are at different heights?

Tip: Always start projectile motion problems by identifying what is constant (e.g., horizontal velocity) and what changes (e.g., vertical velocity due to gravity). This separation simplifies the problem!