Magnitude of average acceleration

AI Thread Summary
The discussion focuses on calculating the average acceleration of a golf ball that bounces after being dropped from a height of 1.50 m and reaching a height of 0.62 m. The ball is in contact with the floor for 5.39 ms, and participants suggest using kinematic equations to find the acceleration. Key equations mentioned include a = (v final - v initial) / (t final - t initial) and v final^2 = v(initial)^2 - 2a(final position - initial position). Initial and final velocities are crucial for solving the problem, with the initial velocity being negative due to the downward motion. The final result for average acceleration is calculated to be approximately 1.65 x 10^3 m/s².
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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