# What Is the Initial Speed of a Diver Jumping from a 10m Board?

• Matt1234
In summary, the problem involves a diver jumping from a 10 m high diving board at a 30 degree angle above the horizontal and reaching the water after 2 seconds. The equations v=vi+at, s=si+vit+0.5(a)t^2, and v^2=Vi^2+2a(s-s0) can be used, but the initial velocity is unknown and breaking it into components was unsuccessful. The solution requires finding the vertical component of the initial velocity.
Matt1234

## Homework Statement

A diver jumps from a 10 m high diving board at an angle of 30 deg above horizontal. 2 seconds later the diver reaches water. What is the initial speed of the diver ?

## Homework Equations

v = vi + at
s = si + vit +0.5(a)t^2
v^2= Vi^2 + 2 a (s-s0)

## The Attempt at a Solution

I tried applying the above equations yet i can't seem to come up with the method. I know Acceleration is constant 9.81 m/s^2. But the initial velocity is throwing me off, i have also tried to break the velocity into components, but was unseccessful.
Thank you.

Matt1234 said:
But the initial velocity is throwing me off, i have also tried to break the velocity into components, but was unseccessful.
Show what you've tried. Hint: If the initial velocity is 'v', what's the vertical component?

here is my attempt, I am sorry for the poor handwriting and poor quality scan. Thank you for your help.

Last edited by a moderator:

## What is a constant acceleration problem?

A constant acceleration problem is a type of physics problem that involves calculating the motion of an object that is undergoing constant acceleration. This means that the object's velocity is changing at a constant rate over time.

## How is constant acceleration calculated?

Constant acceleration can be calculated using the equation a = (vf - vi)/t, where a is the acceleration, vf is the final velocity, vi is the initial velocity, and t is the time interval.

## What is the difference between constant acceleration and uniform motion?

Constant acceleration and uniform motion are two different types of motion. Uniform motion is when an object is moving at a constant speed in a straight line, while constant acceleration is when an object's velocity is changing at a constant rate over time.

## What are some real-life examples of constant acceleration?

Some examples of real-life constant acceleration include a car accelerating from a stop, a roller coaster going down a hill, or a ball being thrown into the air.

## How can constant acceleration be represented graphically?

Constant acceleration can be represented on a graph by a straight line with a positive slope. The slope of the line represents the acceleration, and the y-intercept represents the initial velocity.

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