Deck 10: Extension H: Vector Functions
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Deck 10: Extension H: Vector Functions
1
Find the velocity and position vectors of an object with acceleration
initial velocity
and initial position 





2
Find the scalar tangential and normal components of acceleration of a particle with position vector 
A)

B)

C)

D)


A)


B)


C)


D)




3
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.







4
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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5
Find the acceleration of a particle with the following position function. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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6
Find the speed of a particle with the given position function. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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7
Find the velocity of a particle that has the given acceleration and the given initial velocity.

A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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8
Find the acceleration of a particle with the given position function. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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9
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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10
The position function of a particle is given by
When is the speed a minimum?
A)
B)
C)
D)
E)

When is the speed a minimum?
A)

B)

C)

D)

E)

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11
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.

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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12
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 
A)
B)
C)
D)
E)



A)

B)

C)

D)

E)

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13
Find the scalar tangential and normal components of acceleration of a particle with position vector 

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14
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.
A)

B)
C)
D)
E)



A)



B)

C)

D)

E)

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