A basketball is dropped from a walkway above Bartow Arena. It falls from rest with a constant acceleration of 9.8 m/s² until it reaches the floor 2.5 seconds later. A physics class is modeling the 1-D straight line motion as part of a class project They want construct a simple, but accurate, data table using the following equations: V₁+1 = V¡ + at and X₁+1 = X₁ + vi t which are familiar to you. Their instructor requires them to make the constant time interval At between rows in their table sufficiently small so that they have only a 4 percent error in the total distance traveled by the ball during the 2.5 seconds. What should be the value of At in their data table to cover the entire time interval and achieve the desired error?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A basketball is dropped from a walkway above Bartow Arena. It falls from rest with a
constant acceleration of 9.8 m/s² until it reaches the floor 2.5 seconds later. A physics class
is modeling the 1-D straight line motion as part of a class project They want construct a
simple, but accurate, data table using the following equations: V₁+1 = V₁ + at and X₁+1 = X₁ +
vi t which are familiar to you. Their instructor requires them to make the constant time
interval▲t between rows in their table sufficiently small so that they have only a 4 percent
error in the total distance traveled by the ball during the 2.5 seconds. What should be the
value of At in their data table to cover the entire time interval and achieve the desired
error?
Transcribed Image Text:A basketball is dropped from a walkway above Bartow Arena. It falls from rest with a constant acceleration of 9.8 m/s² until it reaches the floor 2.5 seconds later. A physics class is modeling the 1-D straight line motion as part of a class project They want construct a simple, but accurate, data table using the following equations: V₁+1 = V₁ + at and X₁+1 = X₁ + vi t which are familiar to you. Their instructor requires them to make the constant time interval▲t between rows in their table sufficiently small so that they have only a 4 percent error in the total distance traveled by the ball during the 2.5 seconds. What should be the value of At in their data table to cover the entire time interval and achieve the desired error?
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