# Uniform Acceleration Homework: Calculate Distance and Force

• FalconKICK
In summary, the ball accelerates to a velocity of 37.0 m/s after being accelerated uniformly for 0.0500 s.
FalconKICK

## Homework Statement

After uniformly accelerating his arm for 0.0500 s, a pitcher releases a baseball of weight 1.40 N with a velocity of 37.0 m/s horizontally forward. The ball starts from rest. (Assume that horizontally forward and upward are positive.)

## Homework Equations

a)Through what distance does the ball accelerate before its release?

b)What force does the pitcher

## The Attempt at a Solution

I got part of part b What force does the pitcher ___Ni + 1.4Nj

I really just need the equation to find part a.

Does
[tex]v = a t[/itex]
ring a bell? Can you apply that here?

Also, the phrases "... with a velocity of 37.0 m/s horizontally forward." and "The ball starts from rest. " sound a bit contradictory to me (I assume they mean: it starts from rest, then the pitcher accelerates it, and when he let's go, it has a(n instantaneous) velocity of 37.0 m/s).

CompuChip said:
Does
[tex]v = a t[/itex]
ring a bell? Can you apply that here?

Also, the phrases "... with a velocity of 37.0 m/s horizontally forward." and "The ball starts from rest. " sound a bit contradictory to me (I assume they mean: it starts from rest, then the pitcher accelerates it, and when he let's go, it has a(n instantaneous) velocity of 37.0 m/s).

I tried that but when I input the answer into the site it says it's wrong.

What did you try? You need to find the distance it traveled during its acceleration. Start by finding the average speed.

I think what compuchip gave you was the final velocity, after the release. From there you can find the acceleration, having the duration (time) of acceleration. then relating that final result to the change in position in the x direction using your kinematic equations to represent mathematically what is going on physically. Having just the equation never really helped me understand how to use them or when to use them.

Ok I understood what you guys said and got part a but I'm still sort of confused about part b, the first part of it.

Apply Newton's 2nd law.

## 1. How do I calculate distance using uniform acceleration?

To calculate distance using uniform acceleration, you can use the equation d = v0t + 1/2at2, where d is distance, v0 is initial velocity, t is time, and a is acceleration. Plug in the values you have and solve for d.

## 2. What is the formula for calculating force with uniform acceleration?

The formula for calculating force with uniform acceleration is F = ma, where F is force, m is mass, and a is acceleration. This equation is derived from Newton's second law of motion, which states that force is equal to mass multiplied by acceleration.

## 3. How do I convert units for acceleration?

To convert units for acceleration, you can use the following conversions: 1 m/s2 = 3.281 ft/s2 and 1 ft/s2 = 0.305 m/s2. Make sure to use the appropriate conversion factor depending on which units you are converting from and to.

## 4. What is the difference between average acceleration and instantaneous acceleration?

Average acceleration is the change in velocity over a specific period of time, while instantaneous acceleration is the acceleration at a specific moment in time. In other words, average acceleration is an average rate of change, while instantaneous acceleration is a specific value at a specific point in time.

## 5. Can I use uniform acceleration equations for non-uniform acceleration?

No, uniform acceleration equations can only be used for motion with constant acceleration. If acceleration is not constant, you would need to use more advanced equations, such as those involving calculus, to accurately calculate distance and force.

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