An object rolls off a tabletop with a horizontal velocity v0x = 2.1 m/s. The table is at a height y0 = 0.75 m, above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, its horizontal x-axis lying directly beneath the object’s trajectory, and its vertical y-axis pointing up. A. How long, in seconds, is the object falling before it hits the floor? B.How far, in meters, does the object land from the edge of the tabletop? C. What is the vertical component of velocity, in meters per second, when the object hits the ground? Recall that the positive y-direction is upwards. D. What is the magnitude of the velocity (it's speed) when it hits the floor?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 5P: A fish swimming in a horizontal plane has velocity vi=(4.00i+1.00j)m/s at a point in the ocean where...
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An object rolls off a tabletop with a horizontal velocity v0x = 2.1 m/s. The table is at a height y0 = 0.75 m, above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, its horizontal x-axis lying directly beneath the object’s trajectory, and its vertical y-axis pointing up.

 

A. How long, in seconds, is the object falling before it hits the floor? 

B.How far, in meters, does the object land from the edge of the tabletop? 

C. What is the vertical component of velocity, in meters per second, when the object hits the ground? Recall that the positive y-direction is upwards. 

D. What is the magnitude of the velocity (it's speed) when it hits the floor? 

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