0, y 0) 44. A projectile is launched from the point (x QC with velocity (12.0î + 49.0 j) m/s, at t = 0. (a) Make a table listing the projectile's distance |r| from the ori- gin at the end of each second thereafter, for 0 s I S 10 s. Tabulating the x and y coordinates and the compo- nents of velocity v and v will also be useful. (b) Notice that the projectile's distance from its starting point increases with time, goes through a maximum, and starts to decrease. Prove that the distance is a maximum when the position vector is perpendicular to the veloc- ity. Suggestion: Argue that if v is not perpendicular to f, then r|must be increasing or decreasing. (c) Determine the magnitude of the maximum displacement. (d) Explain

0, y 0) 44. A projectile is launched from the point (x QC with velocity (12.0î + 49.0 j) m/s, at t = 0. (a) Make a table listing the projectile's distance |r| from the ori- gin at the end of each second thereafter, for 0 s I S 10 s. Tabulating the x and y coordinates and the compo- nents of velocity v and v will also be useful. (b) Notice that the projectile's distance from its starting point increases with time, goes through a maximum, and starts to decrease. Prove that the distance is a maximum when the position vector is perpendicular to the veloc- ity. Suggestion: Argue that if v is not perpendicular to f, then r|must be increasing or decreasing. (c) Determine the magnitude of the maximum displacement. (d) Explain

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 51P: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...

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Question

100%

0, y 0)
44. A projectile is launched from the point (x
QC with velocity (12.0î + 49.0 j) m/s, at t = 0. (a) Make a
table listing the projectile's distance |r| from the ori-
gin at the end of each second thereafter, for 0 s I S
10 s. Tabulating the x and y coordinates and the compo-
nents of velocity v and v will also be useful. (b) Notice
that the projectile's distance from its starting point
increases with time, goes through
a maximum, and
starts to decrease. Prove that the distance is a maximum
when the position vector is perpendicular to the veloc-
ity. Suggestion: Argue that if v is not perpendicular to
f, then r|must be increasing or decreasing. (c) Determine
the magnitude of the maximum displacement. (d) Explain

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