# 10 m dive. Time and horizontal displacement is known.

• andorini
In summary, the time and horizontal displacement of a 10 m dive can be calculated using the formula: d = 1/2 * g * t^2, where d is the horizontal displacement, g is the acceleration due to gravity (9.8 m/s^2), and t is the time in seconds. Air resistance can have a small effect on these measurements, but it is usually negligible at such a short distance. The main factors that can affect the time and horizontal displacement are the initial velocity of the diver, air resistance, and any external forces acting on the diver. The angle of the dive also plays a significant role, with a higher angle resulting in a shorter time and larger horizontal displacement, and a lower angle resulting in
andorini

## Homework Statement

A diver jumps from a 10 m platform.Time in air is 2.3 s. Horisontal displacement is 4 m.
What is the divers initial velocity and angle?

No idea :'(

## The Attempt at a Solution

No idea :'(

suppossed initial velocity as Vo and angle is θ. horisontal displacement = Vo cosθ t. so that Vo cosθ = 40/23. vertical displacement = Vo sinθt - 1/2 g t2. so that Vo sinθ = 329/46 (for g=10). by comparison with Vo sin θ and Vo cos θ obtained tan θ = 4,1. in such a way that θ = tan-1 4,1. and Vo = 7,37.

## 1. How is the time and horizontal displacement of a 10 m dive calculated?

The time and horizontal displacement of a 10 m dive can be calculated using the formula: d = 1/2 * g * t^2, where d is the horizontal displacement, g is the acceleration due to gravity (9.8 m/s^2), and t is the time in seconds.

## 2. Is the time and horizontal displacement of a 10 m dive affected by air resistance?

Yes, air resistance can have a small effect on the time and horizontal displacement of a 10 m dive. However, at such a short distance, the impact of air resistance is usually negligible and can be ignored in calculations.

## 3. What factors can affect the time and horizontal displacement of a 10 m dive?

The main factors that can affect the time and horizontal displacement of a 10 m dive are the initial velocity of the diver, air resistance, and any external forces acting on the diver (such as wind or current).

## 4. How does the angle of the dive affect the time and horizontal displacement?

The angle of the dive can have a significant impact on the time and horizontal displacement. A higher angle will result in a shorter time and a larger horizontal displacement, while a lower angle will result in a longer time and a smaller horizontal displacement.

## 5. Can the time and horizontal displacement of a 10 m dive be used to determine the diver's speed?

No, the time and horizontal displacement alone cannot determine the diver's speed. Additional information, such as the vertical displacement and the angle of the dive, is needed to calculate the diver's speed accurately.

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