A small object is given an initial downward velocity of 3.0 m/s. (a) What is its velocity after it falls freely for 5.0 s? 

To find the velocity of the object after it falls freely for 5.0 seconds, we can use the kinematic equation that relates initial velocity, acceleration, time, and final velocity:

\[
v = v_0 + at
\]

where:
- \( v \) = final velocity
- \( v_0 \) = initial velocity (\(3.0 \, \text{m/s}\) downward)
- \( a \) = acceleration due to gravity (\(9.8 \, \text{m/s}^2\) downward)
- \( t \) = time (\(5.0 \, \text{s}\))

Substituting the given values:

\[
v = 3.0 \, \text{m/s} + (9.8 \, \text{m/s}^2 \times 5.0 \, \text{s})
\]

Let's calculate this:The velocity of the object after it falls freely for 5.0 seconds is \( 52.0 \, \text{m/s} \) downward.

Would you like more details or have any other questions? Here are some related questions:

1. How would the final velocity change if the initial velocity was upward?
2. What would be the object's displacement after 5.0 seconds?
3. How long would it take for the object to reach a velocity of 100 m/s?
4. How does air resistance affect the object's velocity compared to free fall?
5. What is the object's velocity after 10 seconds of free fall?

**Tip:** Always remember that when an object falls freely, gravity continuously accelerates it downwards at \(9.8 \, \text{m/s}^2\).

A small object is given an initial downward velocity of 3.0 m/s. (a) What is its velocity after it falls freely for 5.0 s?

Find out how to calculate the final velocity of a small object given an initial downward velocity of 3.0 m/s after falling freely for 5.0 seconds. Learn how to use the kinematic equation v = v_0 + at, with gravity's acceleration of 9.8 m/s². Suitable for high school students in Grades 9-11.

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