One ball is dropped at rest from a height of h = 65 m. At the same time, another ball is thrown upward from the ground with initial velocity v2 = 31 m/s. It takes Δt time for them to meet on the way. Express the displacement of the ball falling down, Δy1, when the two balls meet in terms of Δt and a. Express the displacement of the ball going upward, Δy2, when the two balls meet in terms of v2, a, and Δt. Calculate the numerical value of Δy2, in meters, which represents the height at which the two balls meet.

One ball is dropped at rest from a height of h = 65 m. At the same time, another ball is thrown upward from the ground with initial velocity v2 = 31 m/s. It takes Δt time for them to meet on the way. Express the displacement of the ball falling down, Δy1, when the two balls meet in terms of Δt and a. Express the displacement of the ball going upward, Δy2, when the two balls meet in terms of v2, a, and Δt. Calculate the numerical value of Δy2, in meters, which represents the height at which the two balls meet.

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

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...

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One ball is dropped at rest from a height of h = 75 m. At the same time, another ball is thrown upward from the ground with initial velocity v2 = 34 m/s. It takes Δt time for them to meet on the way. Defining the positive direction going upward, what is the acceleration of the two balls, a in m/s2? Express the displacement of the ball falling down, Δy1, when the two balls meet in terms of Δt and a. Express the displacement of the ball going upward, Δy2, when the two balls meet in terms of v2, a, and Δt. Express h in terms of Δy1 and Δy2. Calculate the numerical value of Δy2, in meters, which represents the height at which the two balls meet.
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