Problem 5. (5 points) Suppose a projectile is fired at an angle of elevation 0 with an initial velocity of vo ft/sec. In calculus and physics courses you will learn that points (x(t), y(t)) on the path of the projectile at time t are given by 1 a(t) = (vo cos 0)t, y(t) = (vo sin 6)t – COS %3D where g = 32 ft/sec? is the acceleration due to the earth's gravity. Where will a projectile land if it is fired at an angle of 30 degrees and an initial velocity of 400 ft/sec?

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 5. (5 points) Suppose a projectile is fired at an angle of elevation 0 with an initial
velocity of vo ft/sec. In calculus and physics courses you will learn that points (x(t), y(t)) on
the path of the projectile at time t are given by
1
x(t) = (vo cos 0)t, y(t) = (vo sin 0)t -
%3D
where g = 32 ft/sec? is the acceleration due to the earth's gravity. Where will a projectile land
if it is fired at an angle of 30 degrees and an initial velocity of 400 ft/sec?
%3D
Transcribed Image Text:Problem 5. (5 points) Suppose a projectile is fired at an angle of elevation 0 with an initial velocity of vo ft/sec. In calculus and physics courses you will learn that points (x(t), y(t)) on the path of the projectile at time t are given by 1 x(t) = (vo cos 0)t, y(t) = (vo sin 0)t - %3D where g = 32 ft/sec? is the acceleration due to the earth's gravity. Where will a projectile land if it is fired at an angle of 30 degrees and an initial velocity of 400 ft/sec? %3D
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