Find Initial Velocity: Time = 2.58s, Distance = 9.87m

AI Thread Summary
To find the initial velocity of a ball given a time of 2.58 seconds and a distance of 9.87 meters, the key equations involve understanding acceleration. There is confusion about whether acceleration is applicable, with suggestions that if the ball is falling, it would experience an acceleration of approximately 10 m/s². The equation x = x₀ + v₀t + ½at² is recommended for solving the problem. Clarification on whether the ball is in free fall or moving horizontally is essential for determining the correct approach. Understanding the problem's context is crucial for accurate calculations.
Jillypilly9
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Homework Statement


Find the initial velocity of a ball with the time=2.58 seconds and distance of 9.87 meters

Homework Equations


vi=v-at


The Attempt at a Solution


I don't understand how to find the acceleration with just time and distance is it just 9.8 m^3/second?
 
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I can't gather from the problem that the ball experiences any acceleration. The really basic equation that comes to mind is: x=xo+vot+½at2. Give that a try.

In the case that the ball is falling vertically, a=10ms-² instead of zero (9.81ms-² if you wanted to be more precise).
 
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Jillypilly9 said:

Homework Statement


Find the initial velocity of a ball with the time=2.58 seconds and distance of 9.87 meters

Homework Equations


vi=v-at

The Attempt at a Solution


I don't understand how to find the acceleration with just time and distance is it just 9.8 m^3/second?
How exactly is the problem worded? Is there any indication that the ball is falling?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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