High Diver: Calculating Initial and Final Velocities

In summary, a high diver jumps off a 5.0 m high diving board and lands in the water 1.4 s later, 2.8m away from the end of the board. We are asked to determine the initial velocity and angle of the diver, as well as the maximum height reached above the water and the final velocity and angle as the diver enters the water.
  • #1
laurenbell
1
0
a high diver leaves the end of a 5.0 m high diving board and strikes the water 1.4 s later, 2.8m beyond the end of the board. Considering the diver as a particle, determine the following:
a) her initial velocity & angle above horizontal.
b) max height reached above water
c) final velocity as she enters the water & angle below the horizontal
 
Physics news on Phys.org
  • #2
Welcome to PF!

Note that the forum rules require you to show effort to solve the problem on your own before we are allowed to help you. It will be more instructive for you and easier for us to help you if you show what you have done/thought so far rather than just stating the problem.
 

Related to High Diver: Calculating Initial and Final Velocities

1. How do you calculate the initial velocity of a high diver?

To calculate the initial velocity of a high diver, you need to know the height from which they are diving, the acceleration due to gravity, and the time it takes for the diver to fall. The formula for initial velocity is v0 = gt, where v0 is the initial velocity, g is the acceleration due to gravity (9.8 m/s2), and t is the time in seconds.

2. What is the final velocity of a high diver?

The final velocity of a high diver is the velocity at which they enter the water. This can be calculated using the formula vf = v0 + gt, where vf is the final velocity, v0 is the initial velocity, g is the acceleration due to gravity (9.8 m/s2), and t is the time in seconds.

3. How does air resistance affect the calculations for high diving?

Air resistance can affect the calculations for high diving as it creates a force that opposes the motion of the diver. This can result in a decrease in the diver's acceleration and thus affect the final velocity calculation. However, for most high diving scenarios, the effect of air resistance is negligible and can be ignored in the calculations.

4. Can the angle of entry into the water affect the final velocity of a high diver?

Yes, the angle of entry into the water can affect the final velocity of a high diver. A steeper entry angle will result in a faster final velocity as more of the diver's potential energy is converted into kinetic energy. However, a very steep entry angle can also increase the risk of injury for the diver.

5. How can the calculation for high diving be used in real-life situations?

The calculation for high diving can be used in real-life situations to ensure the safety of high divers. By calculating the initial and final velocities, we can determine the height from which a diver can safely jump and the depth of the water needed to avoid injury. These calculations are also important in competitive high diving events to ensure fair scoring and accurate results.

Similar threads

Projectile Motion Problem Involving Initial Velocity and Gravity Only
    • Introductory Physics Homework Help
Replies
11
Views
182
Final velocity of the barbell dropped after a dead lift
    • Introductory Physics Homework Help
Replies
7
Views
285
Diver Time & Velocity Question
    • Introductory Physics Homework Help
Replies
7
Views
3K
Freefall problem of a diver jumping horizontally upward
    • Introductory Physics Homework Help
Replies
7
Views
2K
Diving Board Jump: Analyzing Velocity and Height
    • Introductory Physics Homework Help
Replies
7
Views
7K
Find the initial velocity of a water rocket (mass changes)
    • Introductory Physics Homework Help
Replies
8
Views
2K
How Do You Calculate Net Force on a Diver?
    • Introductory Physics Homework Help
Replies
8
Views
2K
Find Initial Velocity Given Height, Range, and Initial Angle
    • Introductory Physics Homework Help
Replies
4
Views
2K
Calculating Slingshot Projectile Motion - Finding Initial Velocity
    • Introductory Physics Homework Help
Replies
5
Views
2K
How do I find the final velocity and how high the bridge is?
    • Introductory Physics Homework Help
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top