21st Century Astronomy: The Solar System (Sixth Edition)
6th Edition
ISBN: 9780393691283
Author: Laura Kay; Stacy Palen; George Blumenthal
Publisher: W. W. Norton
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Chapter 8, Problem 10QP
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Part C
Find the height yi
from which the rock was launched.
Express your answer in meters to three significant figures.
Learning Goal:
To practice Problem-Solving Strategy 4.1 for projectile motion problems.
A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration.
PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems
MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.
VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ.
SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…
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Chapter 8 Solutions
21st Century Astronomy: The Solar System (Sixth Edition)
Ch. 8.1 - Prob. 8.1CYUCh. 8.2 - Prob. 8.2CYUCh. 8.3 - Prob. 8.3ACYUCh. 8.3 - Prob. 8.3BCYUCh. 8.4 - Prob. 8.4CYUCh. 8.5 - Prob. 8.5CYUCh. 8.6 - Prob. 8.6CYUCh. 8 - Prob. 1QPCh. 8 - Prob. 2QPCh. 8 - Prob. 3QP
Ch. 8 - Prob. 4QPCh. 8 - Prob. 5QPCh. 8 - Prob. 6QPCh. 8 - Prob. 7QPCh. 8 - Prob. 8QPCh. 8 - Prob. 9QPCh. 8 - Prob. 10QPCh. 8 - Prob. 11QPCh. 8 - Prob. 12QPCh. 8 - Prob. 13QPCh. 8 - Prob. 14QPCh. 8 - Prob. 15QPCh. 8 - Prob. 16QPCh. 8 - Prob. 17QPCh. 8 - Prob. 18QPCh. 8 - Prob. 19QPCh. 8 - Prob. 20QPCh. 8 - Prob. 21QPCh. 8 - Prob. 22QPCh. 8 - Prob. 23QPCh. 8 - Prob. 24QPCh. 8 - Prob. 25QPCh. 8 - Prob. 26QPCh. 8 - Prob. 27QPCh. 8 - Prob. 28QPCh. 8 - Prob. 29QPCh. 8 - Prob. 30QPCh. 8 - Prob. 31QPCh. 8 - Prob. 32QPCh. 8 - Prob. 33QPCh. 8 - Prob. 34QPCh. 8 - Prob. 35QPCh. 8 - Prob. 36QPCh. 8 - Prob. 37QPCh. 8 - Prob. 38QPCh. 8 - Prob. 39QPCh. 8 - Prob. 40QPCh. 8 - Prob. 41QPCh. 8 - Prob. 42QPCh. 8 - Prob. 43QPCh. 8 - Prob. 44QPCh. 8 - Prob. 45QP
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