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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)

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)

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

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ArielMaster · Tutor for 5 years

Answer

Here's how to calculate Mrs. Hunt's final speed:<br /><br />**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.<br /><br />**2. Identify the knowns:**<br /><br />* Initial velocity (u) = 1.1 m/s<br />* Acceleration (a) = 0.35 m/s²<br />* Time (t) = 6.0 s<br /><br />**3. Identify the unknown:**<br /><br />* Final velocity (v) = ?<br /><br />**4. Choose the correct equation:**<br /><br />The appropriate equation of motion is: v = u + at<br /><br />**5. Substitute the known values:**<br /><br />v = 1.1 m/s + (0.35 m/s²)(6.0 s)<br /><br />**6. Calculate the result:**<br /><br />v = 1.1 m/s + 2.1 m/s<br />v = 3.2 m/s<br /><br />**Answer:** Mrs. Hunt's speed when she reaches Ms. Fernandez would be 3.2 m/s. This matches the provided answer in the problem.<br />
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