I drop a penny from the top of the tower at the front of fort Collins high school and it takes 1.85 seconds to hit the ground. calculate the velocity in m/s after 1.10 seconds of freefall and calculate the velocity at impact

To solve these two problems, we will use the equations of motion under constant acceleration due to gravity. 

### 1. **Velocity after 1.10 seconds of freefall**

The velocity of an object in free fall is given by the formula:

\[
v = g \cdot t
\]

Where:
- \( v \) is the velocity
- \( g = 9.8 \, \text{m/s}^2 \) (acceleration due to gravity)
- \( t \) is the time in seconds

Substituting \( t = 1.10 \) seconds into the equation:

\[
v = 9.8 \, \text{m/s}^2 \cdot 1.10 \, \text{s}
\]

### 2. **Velocity at impact**

At the point of impact, the object has been falling for 1.85 seconds. Using the same formula for velocity:

\[
v = g \cdot t
\]

Substituting \( t = 1.85 \) seconds:

\[
v = 9.8 \, \text{m/s}^2 \cdot 1.85 \, \text{s}
\]

Now, let's calculate both values.### Results:
1. The velocity after 1.10 seconds of freefall is approximately **10.78 m/s**.
2. The velocity at the moment of impact after 1.85 seconds is approximately **18.13 m/s**.

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. How high was the tower if the object fell for 1.85 seconds?
2. What is the acceleration of an object just before it hits the ground?
3. How would air resistance affect the fall time and velocities?
4. Can the same equations be applied if the object is thrown upwards first?
5. What would be the total distance covered in the 1.10 seconds?

**Tip:** In freefall problems, ignoring air resistance is common, but in real-world scenarios, air resistance can significantly affect the motion of lighter objects.

I drop a penny from the top of the tower at the front of Fort Collins high school and it takes 1.85 seconds to hit the ground. Calculate the velocity in m/s after 1.10 seconds of freefall and calculate the velocity at impact.

This problem explores the velocity of a penny dropped from a tower. Learn how to calculate the velocity after 1.10 seconds and at the moment of impact (1.85 seconds) using the formula v = g * t, with gravity at 9.8 m/s². Suitable for Grades 9-12 students studying kinematics and freefall.

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