Magnitude of average acceleration

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Homework Help Overview

The problem involves a golf ball released from a height, which bounces back after contacting the floor. The focus is on determining the magnitude of the average acceleration while the ball is in contact with the floor, relating to concepts in kinematics and motion under gravity.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss various equations related to acceleration and motion, including the basic definition of acceleration and kinematic equations. Some express uncertainty about how to begin solving the problem, while others suggest identifying relevant equations.

Discussion Status

The discussion includes attempts to clarify the relationship between initial and final velocities, time of contact, and the application of kinematic equations. Some participants have provided calculations, but there is no explicit consensus on the approach or final answer.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can use or the methods they can apply. There is a mention of specific values for height and time, but the discussion reflects varying interpretations of how to apply these values.

matthew1991
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1. A golf ball released from a height of 1.50 m above a concrete floor, bounces back to a height of 0.62 m. If the ball is in contact with the floor for 5.39 ms, what is the magnitude of the average acceleration a of the ball while it is in contact with the floor?



2. v=v(initial)+acceleration*time
acceleration = -9.8 m/s^2



]3. I don't know where to start =|. Please assist
 
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OK, well to start you off: the problem asks for an acceleration. What equations do you know that might allow you to find acceleration?
 
a= (v final - v initial) / (t final - t initial)
a = dv/dt
a d^2(s)/d(t)^2
 
Problem solved. 1.65*10E3 m/s^s.
For all who may come along seeking help: initial velocity is the velocity when the ball first contacts the floor and final velocity is the velocity at which the ball leaves. Delta T is the time in contact with the floor.

With the distanc equation you can solve for the time and then multiply by acceleration to find velocity.
0=initial position-1/2 a t^2 solve for t
plug t into v=at
this is initial velocity -5.42 m.s

final velocity ises a different equation
v final ^2 = v(initial)^2-2a(final p- initial p)
 

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