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

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SUMMARY

The discussion focuses on calculating the initial velocity of a ball given a time of 2.58 seconds and a distance of 9.87 meters. The relevant equation is x = x0 + v0t + ½at², where acceleration (a) is critical for determining initial velocity (v0). Participants clarify that if the ball is falling, the acceleration due to gravity is approximately 9.81 m/s². The conversation emphasizes the need to establish whether the ball is subject to gravitational acceleration to solve for initial velocity accurately.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of gravitational acceleration (9.81 m/s²)
  • Familiarity with the concept of initial velocity
  • Basic algebra skills for solving equations
NEXT STEPS
  • Study kinematic equations in detail, focusing on their applications in vertical motion
  • Learn how to derive initial velocity from distance and time using the equation x = x0 + v0t + ½at²
  • Explore the effects of acceleration on projectile motion
  • Investigate real-world examples of objects in free fall to understand practical applications of these concepts
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Students studying physics, educators teaching kinematics, and anyone interested in understanding motion under the influence of gravity.

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?
 

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