## Quiz 10 :

Vectors and the Geometry of Space

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

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B

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

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B

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The position function of a particle is given by 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 for Sketch the path of the object and its velocity and acceleration vectors.

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Find the scalar tangential and normal components of acceleration of a particle with position vector

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Find the velocity of a particle that has the given acceleration and the given initial velocity.

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Find the velocity, acceleration, and speed of an object with position function for 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 for 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 initial velocity and initial position

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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
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.

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A force with magnitude N acts directly upward from the xy-plane on an object with mass kg. The object starts at the origin with initial velocity . Find its position function.

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Find the scalar tangential and normal components of acceleration of a particle with position vector

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Reparametrize the curve with respect to arc length measured from the point where in the direction of increasing .

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