How Far Does a Sprinter Run During Acceleration in a 100m Dash?

  • Thread starter Thread starter nathan scott
  • Start date Start date
Click For Summary
SUMMARY

In a 100m dash, a sprinter accelerates from rest at a rate of 2.68 m/s² before reaching a constant top speed. The total time for the race is 12.0 seconds. The distance covered during the acceleration phase can be calculated using the equations d1 = 1/2 * 2.68 m/s² * t² and d2 = v * t, where v is the top speed achieved after acceleration. The correct approach involves solving for time t and subsequently determining the distance covered during acceleration.

PREREQUISITES
  • Understanding of kinematic equations for uniformly accelerated motion
  • Familiarity with basic algebra and quadratic equations
  • Knowledge of constant velocity motion concepts
  • Ability to manipulate equations to solve for unknown variables
NEXT STEPS
  • Study kinematic equations in-depth, focusing on acceleration and distance calculations
  • Practice solving quadratic equations to find time and distance in motion problems
  • Explore examples of constant velocity motion and its relationship to acceleration
  • Review physics concepts related to sprinting and acceleration phases in track events
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, athletes interested in performance metrics, and coaches analyzing sprinting techniques.

nathan scott
Messages
7
Reaction score
0

Homework Statement


In the 100 m dash a sprinter accelerates from rest to a top speed with an acceleration whose magnitude is 2.68 m/s2. After reaching top speed, he runs remainder of race with constant velocity. If total race is run in 12.0s, how far does he run during the acceleration phase?



Homework Equations


d1= 1/2*2.68 m/s2*t2
d2= vt = 2.68 m/s2*t*12.0s - t



The Attempt at a Solution


Not knowing if the above equations are correct I tried d1+d2=100m.
I multiplied everything, moved the 100m to the other side and tried the quadratic formula. I don't think I came out with the correct answer. I got approx. t= 3.5 or t= about 18. Any suggestions
 
Physics news on Phys.org
Nevermind. I've finally figured out my errors.
 

Similar threads

Angular Acceleration of a sprinter
  • · Replies 18 ·
Replies
18
Views
2K
Find the average angular acceleration of the sprinter
  • · Replies 2 ·
Replies
2
Views
3K
Solving Algebra Roadblock: 100m Dash Force & Speed
  • · Replies 8 ·
Replies
8
Views
7K
Why Does My Displacement Calculation Exceed the Sprint Distance?
  • · Replies 11 ·
Replies
11
Views
7K
What is the Work Done During a 100m Sprint?
  • · Replies 16 ·
Replies
16
Views
3K
What is the Correct Acceleration of the Rocket During Its Launch Phase?
  • · Replies 3 ·
Replies
3
Views
2K
Two cars driving toward each other (non-uniform speed)
  • · Replies 5 ·
Replies
5
Views
8K
How Long Does a Sprinter Accelerate Before Reaching Top Speed?
  • · Replies 1 ·
Replies
1
Views
2K
Calculate Sprinter's Speed in 100m Dash in 10s
  • · Replies 1 ·
Replies
1
Views
4K
Can a Tiger Outrun a Lion in a 100 Meter Dash?
  • · Replies 1 ·
Replies
1
Views
2K