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Physics / Physics with MasteringPhysics 4 / Chapter 4 / Problem 87GP

Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker

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Landing on a Different Level A projectile fired from y = 0

Chapter 4, Problem 87GP

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QUESTION:

Problem 87GP

Landing on a Different Level A projectile fired from y = 0 with initial speed u0 e:\04-02-2016\chapter 4\1403\9781111788452\exercises and initial angle θ lands on a different level, y = h. Show that the time of flight of the projectile is where T0 is the time of flight for h = 0 and H is the maximum height of the projectile.

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QUESTION:

Problem 87GP

Landing on a Different Level A projectile fired from y = 0 with initial speed u0 e:\04-02-2016\chapter 4\1403\9781111788452\exercises and initial angle θ lands on a different level, y = h. Show that the time of flight of the projectile is where T0 is the time of flight for h = 0 and H is the maximum height of the projectile.

ANSWER:

Step 1 of 6

Here we have to prove that, the time of flight of projectile is equal to

$T=\frac{1}{2}{T}_{0}\left({1+\sqrt{1-\frac{h}{H}}}\right)$

For the given case, when a projectile is fired with initial speed of ${v}_{0}$ from $y=0$ at an angle $\ \theta{}$ . The projectile lands in the range of different levels $y=h$ and time of flight of the projectile is T. Also, ${T}_{0}$ is the time of flight when landing range is $h=0$ and maximum height of the projectile is $H$ .

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