Question
Mrs. Hunt is walking at 1.1m/s down the school hallway when she spots Ms.Fernandez defacing a Science 10 textbook. If she accelerates at 0.35m/s^2 for 6.0 s, what would be her speed when she reaches Ms Fernande (3.2m/s)
Solution
4.5
(306 Votes)
Ariel
Master · Tutor for 5 years
Answer
Here's how to calculate Mrs. Hunt's final speed:**1. Understand the problem:** Mrs. Hunt is already moving at a certain speed and then accelerates for a specific time. We need to find her final speed after that acceleration.**2. Identify the knowns:*** Initial velocity (u) = 1.1 m/s* Acceleration (a) = 0.35 m/s²* Time (t) = 6.0 s**3. Identify the unknown:*** Final velocity (v) = ?**4. Choose the correct equation:**The appropriate equation of motion is: v = u + at**5. Substitute the known values:**v = 1.1 m/s + (0.35 m/s²)(6.0 s)**6. Calculate the result:**v = 1.1 m/s + 2.1 m/sv = 3.2 m/s**Answer:** Mrs. Hunt's speed when she reaches Ms. Fernandez would be 3.2 m/s. This matches the provided answer in the problem.