A world-class sprinter can reach a top speed (of about 11.1 m/sm/s ) in the first 17.0 mm of a race.What is the average acceleration of this sprinter?

To find the average acceleration of the sprinter, we use the formula for acceleration, which is defined as the change in velocity over time. Here, the sprinter reaches a top speed of 11.1 m/s in 17.0 seconds.

### Step-by-Step Solution:

1. **Identify the given values:**
   - Top speed (\(v_f\)) = 11.1 m/s
   - Time to reach top speed (\(t\)) = 17.0 s
   - Initial velocity (\(v_i\)) = 0 m/s (since the sprinter starts from rest)

2. **Formula for average acceleration:**

   The formula for average acceleration (\(a\)) is:

   \[
   a = \frac{v_f - v_i}{t}
   \]

   Substituting the given values:

   \[
   a = \frac{11.1 \, \text{m/s} - 0 \, \text{m/s}}{17.0 \, \text{s}}
   \]

3. **Calculate the acceleration:**

   Let's compute the average acceleration.The average acceleration of the sprinter is \(0.65 \, \text{m/s}^2\).

Would you like further details or have any questions?

### Related Questions:
1. What distance does the sprinter cover while reaching the top speed?
2. How much time would it take for the sprinter to reach half the top speed?
3. What force does the sprinter exert if their mass is 70 kg?
4. How would the average acceleration change if the sprinter reached the top speed in 10 seconds?
5. What is the kinetic energy of the sprinter at the top speed?

**Tip:** Remember that acceleration is constant if no external force changes.

Learn how to calculate the average acceleration of a sprinter who reaches a top speed of 11.1 m/s in 17.0 seconds. This problem involves basic kinematics and acceleration concepts, suitable for high school students.

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