Calculus Early Transcendentals

Mathematics

Quiz 10 :

Vectors and the Geometry of Space

Quiz 10 :

Vectors and the Geometry of Space

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A ball is thrown at an angle of img to the ground. If the ball lands img m away, what was the initial speed of the ball? Let img .
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B

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The curvature of the curve given by the vector function img is img Use the formula to find the curvature of img at the point img .
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B

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The position function of a particle is given by img When is the speed a minimum?
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C

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Find the velocity, acceleration, and speed of an object with position function img for img Sketch the path of the object and its velocity and acceleration vectors.
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Find the length of the curve img img
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Find the scalar tangential and normal components of acceleration of a particle with position vector img
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Find the velocity of a particle that has the given acceleration and the given initial velocity. img
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For the curve given by img , find the unit normal vector. img
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Find the velocity, acceleration, and speed of an object with position function img for img Sketch the path of the object and its velocity and acceleration vectors.
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Find the velocity, acceleration, and speed of an object with position function img for img Sketch the path of the object and its velocity and acceleration vectors.
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Find the velocity and position vectors of an object with acceleration img initial velocity img and initial position img
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A projectile is fired from ground level with an initial speed of 1100 ft/sec and an angle of elevation of img a. Find the range of the projectile. b. What is the maximm height attained by the projectile? c. What is the speed of the projectile at impact? Round your answers to the nearest integer.
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Find the acceleration of a particle with the following position function. img
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Find the length of the curve img img
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A force with magnitude img N acts directly upward from the xy-plane on an object with mass img kg. The object starts at the origin with initial velocity img . Find its position function.
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Find the acceleration of a particle with the given position function. img
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Find the curvature of the curve img .
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Find the speed of a particle with the given position function. img
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Find the scalar tangential and normal components of acceleration of a particle with position vector img
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Reparametrize the curve with respect to arc length measured from the point where img in the direction of increasing img . img
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