Kinematics Problem: Sprinter Acceleration and Velocity

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SUMMARY

The discussion centers on a kinematics problem involving a sprinter covering 100 meters, with the first 10 meters completed in 2 seconds under constant acceleration. The calculated acceleration is 5 m/s², leading to a velocity of 10 m/s after 2 seconds. However, confusion arises regarding the total time to complete the 100 meters, with an initial calculation yielding 6.32 seconds, deemed unrealistic. The correct application of kinematic equations is crucial for accurate results.

PREREQUISITES
  • Understanding of kinematic equations, specifically Vf = Vo + at and V = d/t.
  • Knowledge of uniformly accelerated motion and constant velocity concepts.
  • Familiarity with units of measurement for acceleration (m/s²) and velocity (m/s).
  • Basic principles of physics, particularly in the context of motion.
NEXT STEPS
  • Review the derivation and application of kinematic equations in physics.
  • Study the concept of constant acceleration and its implications in motion problems.
  • Learn how to calculate total time for motion involving both acceleration and constant velocity.
  • Explore examples of real-world applications of kinematics in sports science.
USEFUL FOR

Students beginning physics courses, educators teaching kinematics, and anyone interested in understanding motion dynamics in sports contexts.

tdreceiver17
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Ok so I have this problem which is most likely easy to all of you. The problem says that the first 10 meters of the 100 meter are covered in the first 2 seconds by a sprinter who starts from rest and accelerates with a constant acceleration. The remaining 90 meters are run with the same velocity the sprinter had after 2 seconds.
a. Determine the sprinters constant acceleration during the first 2 seconds. I got 5 m/s

b. Determine the sprinters velocity after 2 seconds have elapsed. I couldn't decide on 5 m/s^2 or 10 m/s^2 because i used Vf=Vo+at and V=d/t and it gave me those two different answers.

c. Determine the total time needed to run the full 100 meters. I got 6.32s which is unrealistic.





Please help me out I'm a little rusty just starting physics two and would love for you guys to solve and compare answers. Thank you!
 
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tdreceiver17 said:
I got 5 m/s

What are the units of acceleration?

b. Determine the sprinters velocity after 2 seconds have elapsed. I couldn't decide on 5 m/s^2 or 10 m/s^2 because i used Vf=Vo+at and V=d/t and it gave me those two different answers.

One of these formulas applies to uniformly accelerated motion. Another to motion with constant velocity. What is the case here? And, again, watch out for correct units.

c. Determine the total time needed to run the full 100 meters. I got 6.32s which is unrealistic.

Explain how you got that.
 
tdreceiver17 said:
Ok so I have this problem which is most likely easy to all of you. The problem says that the first 10 meters of the 100 meter are covered in the first 2 seconds by a sprinter who starts from rest and accelerates with a constant acceleration. The remaining 90 meters are run with the same velocity the sprinter had after 2 seconds.
a. Determine the sprinters constant acceleration during the first 2 seconds. I got 5 m/s

b. Determine the sprinters velocity after 2 seconds have elapsed. I couldn't decide on 5 m/s^2 or 10 m/s^2 because i used Vf=Vo+at and V=d/t and it gave me those two different answers.

c. Determine the total time needed to run the full 100 meters. I got 6.32s which is unrealistic.





Please help me out I'm a little rusty just starting physics two and would love for you guys to solve and compare answers. Thank you!

cacc.gif


You have the time (t= 2 s), and the distance (y= 10 m), so you can easy calculate the acceleration.
 

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