Suppose a projectile is launched at an angle of 60° above the horizontal. If the initia speed of the projectile is 200 ft/sec, which of the following correctly models the position vector function r(t) == x(t)i+y(t)j of this projectile after t seconds?

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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Suppose a projectile is launched at an angle of 60 above the horizontal. If the initial
speed of the projectile is 200 ft/sec, which of the following correctly models the
position vector function r(t) =<x(t), y(t)>= x(t)i+y(t)j of this projectile
after t seconds?
Acceleration due to gravity is g = 32 ft/sec2.
A r(t) = (200 t cos 60) i + (200t sin 60) j
R r(t) = (200t) i + (200/3 t – 32 t²) j
C r(t) = (100t) i + (100/3 t
- 16 t²) j
D
r (t) = (200 cos 60) i + (200 cos 60 – g) j
Transcribed Image Text:Suppose a projectile is launched at an angle of 60 above the horizontal. If the initial speed of the projectile is 200 ft/sec, which of the following correctly models the position vector function r(t) =<x(t), y(t)>= x(t)i+y(t)j of this projectile after t seconds? Acceleration due to gravity is g = 32 ft/sec2. A r(t) = (200 t cos 60) i + (200t sin 60) j R r(t) = (200t) i + (200/3 t – 32 t²) j C r(t) = (100t) i + (100/3 t - 16 t²) j D r (t) = (200 cos 60) i + (200 cos 60 – g) j
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