Question

(II) Roger sees water balloons fall past his window. He notices that each balloon strikes the sidewalk 0.83 s after passing his window. Roger's room is on the third floor, 15 $\mathrm{m}$ above the sidewalk. (a) How fast are the balloons traveling when they pass Roger's window? (b) Assuming the balloons are being released from rest, from what floor are they being released? Each floor of the dorm is 5.0 $\mathrm{m}$ high.

Name: Problem 59, Chapter 2: Physics for Scientists and Engineers with Modern Physics
Uploaded: 2019-07-03T01:15:35-08:00
Duration: 3 min 19 s
Channel: Averell Hause

   (II) Roger sees water balloons fall past his window. He
notices that each balloon strikes the sidewalk 0.83 s after
passing his window. Roger's room is on the third floor, 15 $\mathrm{m}$
above the sidewalk. (a) How fast are the balloons traveling
when they pass Roger's window? (b) Assuming the balloons
are being released from rest, from what floor are they being
released? Each floor of the dorm is 5.0 $\mathrm{m}$ high.

Physics for Scientists and Engineers with Modern Physics

Douglas C. Giancoli 4th Edition

Chapter 2, Problem 59

Instant Answer

Solved by Expert Averell Hause

07/03/2019

Step 1

83 seconds later. We also know that the distance from Roger's window to the sidewalk is 15 meters. We can use these values to find the initial velocity of the balloon as it passes Roger's window. We will use the equation of motion: \[y_{\text{initial}} = Show more…

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(II) Roger sees water balloons fall past his window. He notices that each balloon strikes the sidewalk 0.83 s after passing his window. Roger's room is on the third floor, 15 $\mathrm{m}$ above the sidewalk. (a) How fast are the balloons traveling when they pass Roger's window? (b) Assuming the balloons are being released from rest, from what floor are they being released? Each floor of the dorm is 5.0 $\mathrm{m}$ high.

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Key Concepts

Free Fall

Free fall describes the motion of objects falling solely under the influence of gravity, with no other forces like air resistance significantly affecting them. Understanding free-fall motion is vital for calculating parameters such as the time of fall, velocity at a given point, and displacement.

Gravitational Acceleration

Gravitational acceleration is the constant rate at which objects accelerate when falling freely near the Earth's surface, typically approximated as 9.8 m/s². This constant is crucial in solving free-fall problems, as it determines how quickly an object’s velocity changes over time.

Uniformly Accelerated Motion

This key concept involves using the kinematics equations that relate displacement, time, initial velocity, and acceleration when acceleration is constant. These equations are essential for predicting the motion of objects, such as in free?fall scenarios, where the object accelerates uniformly under the influence of gravity.

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