Calculate the Sprinter's Final Speed at the Finish Line

In summary, a sprinter can reach top speed after accelerating with constant acceleration for 3.40 seconds. His total time for running the 100-meter dash is 10 seconds. Using kinematic equations, it can be determined that his speed as he crosses the finish line is unknown. Additionally, his acceleration is positive and nonzero for the first 3.40 seconds and zero for the remaining 6.60 seconds. The distance covered in the first 3.40 seconds can be found using two equations and two unknowns.
  • #1
nerdgirl909
6
0

Homework Statement



A sprinter can accelerate with constant acceleration for 3.40 s before reaching top speed. He can run the 100-meter dash in 10 s.

What is his speed as he crosses the finish line? (in m/s)

Homework Equations



kinematic equations

The Attempt at a Solution



a (acceleration) is positive and nonzero for the first 3.40 s

a is zero for the last 6.60 s
 
Physics news on Phys.org
  • #2
What is the distance covered in the first 3.40s? What is the distance covered in the last 6.60s ?
 
  • #3
Last edited by a moderator:

Related to Calculate the Sprinter's Final Speed at the Finish Line

1. How do you calculate a sprinter's final speed at the finish line?

The sprinter's final speed at the finish line can be calculated by dividing the distance covered by the sprinter by the time taken to cover that distance. This is known as the average speed formula, which is distance divided by time.

2. What are the variables needed to calculate a sprinter's final speed at the finish line?

The variables needed to calculate a sprinter's final speed at the finish line are the distance covered and the time taken to cover that distance. These variables can be measured in meters and seconds, respectively.

3. Can the sprinter's final speed at the finish line be affected by external factors?

Yes, the sprinter's final speed at the finish line can be affected by external factors such as wind resistance, the slope of the track, and the running surface. These factors can either increase or decrease the sprinter's speed.

4. How does the sprinter's technique and form affect their final speed at the finish line?

The sprinter's technique and form can greatly impact their final speed at the finish line. Proper running form and technique can help the sprinter maintain momentum and reduce drag, resulting in a faster speed. On the other hand, poor form and technique can slow down the sprinter and affect their final speed.

5. Is there a difference between a sprinter's average speed and their final speed at the finish line?

Yes, there is a difference between a sprinter's average speed and their final speed at the finish line. Average speed is calculated by dividing the total distance covered by the total time taken, while the final speed at the finish line is the speed at which the sprinter crosses the finish line. It is possible for a sprinter to have a higher or lower final speed at the finish line compared to their average speed, depending on their performance throughout the race.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
18
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
3K
  • Introductory Physics Homework Help
Replies
8
Views
1K
Replies
3
Views
5K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
3K
  • Introductory Physics Homework Help
Replies
2
Views
840
Back
Top