Manuel runs a 100-meter race. 6 seconds after the race started Manuel is 40 meters from the starting line and reaches his max speed; he runs at this max speed for the rest of the race. Manuel notices that he is 85 meters from the starting line 11 seconds after the race started.Suppose Manuel runs for an additional z seconds after reaching his max speed...What is Manuel's distance from the starting line 6+z seconds after the race started?What is Manuel's distance from the starting line x seconds after the race started (provided x≥6x)?

Question
Asked Oct 11, 2019
490 views

Manuel runs a 100-meter race. 6 seconds after the race started Manuel is 40 meters from the starting line and reaches his max speed; he runs at this max speed for the rest of the race. Manuel notices that he is 85 meters from the starting line 11 seconds after the race started.

Suppose Manuel runs for an additional z seconds after reaching his max speed...

What is Manuel's distance from the starting line 6+z seconds after the race started?

What is Manuel's distance from the starting line x seconds after the race started (provided x≥6x)?

check_circle

Expert Answer

Step 1
help_outline

Image Transcriptionclose

Manuel stated the race after t= 6 seconds in D 40 meters from the starting point and he notices the distance D, 85 meters from starting point after the seconds t, =11 The maximum speed = 2-D 85 45 11 6 45 5 meters = 9 second The maximum speed is 9 meters per second.

fullscreen
Step 2
help_outline

Image Transcriptionclose

Obtain the distance from the starting point for an additional z seconds The maximum speed Distance time Distance meters second z-second 9-z.seeond. meters seeond Distance 9z meters Distance The distance from the starting point for an additional z seconds is 9z meters per second

fullscreen
Step 3
help_outline

Image Transcriptionclose

Obtain the distance from the starting point for an additional 6+z seconds Distance The maximum speed time Distance meters (6+z) second second 9(6+z) seeond . meters - Distance seeond (54 9z)meters Distance The distance from the starting point for an additional 6+z seconds is (54+9z) meters per second

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Other