After a ball rolls off the edge of a horizontal table at timet 5 0, its velocity as a
Chapter 3, Problem 62(choose chapter or problem)
After a ball rolls off the edge of a horizontal table at timet 5 0, its velocity as a function of time is given byvS5 1.2 i^ 2 9.8t j^where vSis in meters per second and t is in seconds.The balls displacement away from the edge of thetable, during the time interval of 0.380 s for which theball is in flight, is given byDrS5 30.380 s0vSdtTo perform the integral, you can use the calculustheorem3 3A 1 Bf 1x2 4dx 5 3 A dx 1 B 3 f 1x2 dxYou can think of the units and unit vectors as constants,represented by A and B. Perform the integrationto calculate the displacement of the ball from theedge of the table at 0.380 s.
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