# Determine the balls initial velocity

• lovemake1
In summary, the question involves a passenger in a hot air balloon throwing a ball with an initial unknown velocity. The ball then accelerates at 9.8m/s down for 2.0s, with an instantaneous velocity of 24m/s at that time. The task is to determine the initial velocity of the ball, which is found to be 17m/s at an angle of 10 degrees above the horizontal. This is achieved by using the equation vf = vi + at and taking into account the constant horizontal speed of the ball.
lovemake1

## Homework Statement

Question Reads: " A passenger in a hot air balloon throws a ball with an innitial unknown velocity. the ball accelerates at 9.8m/s down for 2.0s. at which time its instantenous velocity is 24m/s [45 below the horizontal]. determine the balls innital velocity "

vf = vi + at

## The Attempt at a Solution

ok, these kinds of problems are very new to me.
i made vf = 24sine45 since we are only discussing the y direction speed.
and vi = visinetheta.

but the answer says 17m/s [10 degress above horizontal]

where did 17 come from along with the angle ? please guide me

How it can gain horizontal velocity component if g only acts in y direction?

So, horizontal speed is contant. The speed at 2 second = speed at 0 second.

Now, you know after two seconds v_y is 24sine45, what it was 2 seconds?

It is a projectile motion. Let initial component of velocity along y by viy. Final velocity is given. find vfy. Then use the relevant equation to find viy. Cake care of the signs of the quantities.

## What is the formula for determining the initial velocity of a ball?

The formula for determining the initial velocity of a ball is: v0 = (v - gt), where v0 is the initial velocity, v is the final velocity, g is the acceleration due to gravity, and t is the time elapsed.

## How do you measure the initial velocity of a ball?

The initial velocity of a ball can be measured by using a ballistic pendulum, a device that consists of a pendulum with a target attached to it. The ball is fired at the target and the pendulum's motion is used to calculate the initial velocity.

## Can the initial velocity of a ball be changed?

Yes, the initial velocity of a ball can be changed by applying a force to the ball, such as throwing it or hitting it with a bat. The initial velocity can also be affected by external factors such as air resistance and friction.

## What are the units for initial velocity?

The units for initial velocity are typically meters per second (m/s) or feet per second (ft/s).

## Why is it important to determine the initial velocity of a ball?

Determining the initial velocity of a ball is important in various fields such as physics, sports, and engineering. It can help in predicting the trajectory of a ball, understanding the forces acting on the ball, and optimizing the design of equipment used to launch or catch the ball.

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