You must include a picture for this question, variable lists, and all appropriate formulas and work for full credit.

 Mrs. Hickman is walking into the building on a snowy day.  On her way she sees Mr. Lewis 4.50 meters away.  Angry that she didn’t get a snow day, Mrs. Hickman fires a snowball horizontally at a speed of 8.00 m/s from a height of 1.75 m.  Upon seeing Mrs. Hickman wind up, Mr. Lewis begins sprinting towards Mrs. Hickman with an acceleration of 1 m/s^2 (from rest).
How long will the snow ball be in the air before it hits Mr. Lewis?
At what height above the ground will the snow ball hit Mr. Lewis?
How far forward will Mr. Lewis accelerate before the snowball hits him?


Here is the diagram illustrating the snowball's trajectory and Mr. Lewis’s motion. Let me know if further clarification or additional details are needed!

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### Related Questions:
1. What would happen if the snowball were thrown with an upward angle instead of horizontally?
2. How would increasing Mr. Lewis’s acceleration to 2 m/s² change the outcome?
3. What if Mrs. Hickman threw the snowball from a different height, say 3 meters?
4. How would air resistance affect the snowball's trajectory?
5. Can we calculate Mr. Lewis’s speed at the moment the snowball hits the ground?

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### Tip:
In problems involving projectile motion, always break the motion into horizontal and vertical components for easier analysis.

You must include a picture for this question, variable lists, and all appropriate formulas and work for full credit.

Mrs. Hickman is walking into the building on a snowy day. On her way she sees Mr. Lewis 4.50 meters away. Angry that she didn’t get a snow day, Mrs. Hickman fires a snowball horizontally at a speed of 8.00 m/s from a height of 1.75 m. Upon seeing Mrs. Hickman wind up, Mr. Lewis begins sprinting towards Mrs. Hickman with an acceleration of 1 m/s^2 (from rest).
How long will the snow ball be in the air before it hits Mr. Lewis?
At what height above the ground will the snow ball hit Mr. Lewis?
How far forward will Mr. Lewis accelerate before the snowball hits him?

Explore projectile motion with this problem where Mrs. Hickman throws a snowball horizontally at Mr. Lewis. This solution includes variable lists, formulas, and detailed calculations for time in air, height at impact, and Mr. Lewis’s forward motion. Suitable for high school physics students (Grades 10-12).

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