# Kinematics: Constant Acceleration

• SailorMoon01
In summary, the conversation discusses the use of an equation to determine the final velocity of a badminton shuttle after being struck, with a given horizontal velocity of 73m/s [W] and a constant acceleration of 18m/s^2 [E]. The equation used is V2=V1+at and the solution should be 44m/s [W]. The speaker asks for help in understanding the equation and solving the problem.

#### SailorMoon01

A badminton shuttle, or "birdie" is struck, giving it a horizontal velocity of 73m/s [W]. Air resistance causes a constant acceleration of 18m/s^2 [E]. Determine its velocity after 1.6s.

I've used the equation V2=V1+ax x t

V2= Final velocity
V1=initial velocity
A= Acceleration
t=time

The answer should be 44m/s [W] But I don't know how they got that. HELP PLEASE! :)

Hmm, not sure about the equation you've given with the many "x" variables, although if you mean V2 = V1 + at then that's fine. Where the last term is acceleration multiplied by time.

What is the answer you got? Do a sanity check i.e. do your units match, does your answer even make sense in the first place? Can't help you with a problem if you don't show what the problem you're having is :)

Maybe you show us your calculation.

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## 1. What is kinematics?

Kinematics is a branch of classical mechanics that studies the motion of objects without considering the forces that cause the motion. It describes the position, velocity, and acceleration of objects in motion.

## 2. What is constant acceleration?

Constant acceleration is when an object's velocity changes by the same amount in each unit of time. This means that the acceleration is constant and not changing over time.

## 3. How is constant acceleration calculated?

Constant acceleration can be calculated using the formula 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.

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

Average acceleration is the change in velocity over a period of time, while instantaneous acceleration is the acceleration at a specific moment in time. Average acceleration is calculated using the total change in velocity over the total time, while instantaneous acceleration is calculated using the derivative of the velocity with respect to time.

## 5. How does constant acceleration affect an object's motion?

Constant acceleration causes an object to change its velocity by the same amount in each unit of time, resulting in a straight line on a velocity vs. time graph. This means that the object's velocity will increase or decrease at a constant rate, and its displacement will increase or decrease at an increasing rate.