After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of time is given by:v = 1.2 i - 9.8t jwhere v is in meters per second and t is in seconds. The ball’s displacement away from the edge of the table, during the time interval of 0.380 s for which the ball is in flight, is given by:Δ⃗r=∫00.380s⃗vdtTo perform the integral, you can use the calculus theorem:∫[A+Bf(x)]dx=∫Adx+B∫f(x)dx You can think of the units and unit vectors as constants, represented by A and B. Perform the integration to calculate the displacement of the ball from the edge of the table at 0.380 s

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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After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of time is given by:v = 1.2 i - 9.8t jwhere v is in meters per second and t is in seconds. The ball’s displacement away from the edge of the table, during the time interval of 0.380 s for which the ball is in flight, is given by:Δ⃗r=∫00.380s⃗vdtTo perform the integral, you can use the calculus theorem:∫[A+Bf(x)]dx=∫Adx+B∫f(x)dx
You can think of the units and unit vectors as constants, represented by A and B. Perform the integration to calculate the displacement of the ball from the edge of the table at 0.380 s
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