A hot air balloon ascends straight up from the ground with a constant speed of 6.0 m/s. Three seconds later, a stone is shot straight up (not exactly under the balloon) with an initial speed of 28 m/s. Determine, (a) the times when the balloon and the stone are at the same height. (b) the velocity (magnitude and direction) of the stone at both times.

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 3P: A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial...
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A hot air balloon ascends straight up from the ground with a constant speed of 6.0 m/s.
Three seconds later, a stone is shot straight up (not exactly under the balloon) with an
initial speed of 28 m/s. Determine,
(a) the times when the balloon and the stone are at the same height.
(b) the velocity (magnitude and direction) of the stone at both times.
Transcribed Image Text:A hot air balloon ascends straight up from the ground with a constant speed of 6.0 m/s. Three seconds later, a stone is shot straight up (not exactly under the balloon) with an initial speed of 28 m/s. Determine, (a) the times when the balloon and the stone are at the same height. (b) the velocity (magnitude and direction) of the stone at both times.
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