Deck 13: Vector Functions

Question 1

Answer 1

Question 2

Answer 2

Question 3

Find the following limit.

Answer 3

Question 4

Question 5

Find the normal component of the acceleration vector.

Question 6

Question 7

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

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Find the limit.

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Find the derivative of the vector function.

Question 21

Question 22

A mortar shell is fired with a muzzle speed of 250 ft/sec.Find the angle of elevation of the mortar if the shell strikes a target located 1100 ft away.Round your answer to 2 decimal places.

Question 23

Question 24

Find a vector function that represents the curve of intersection of the two surfaces:

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

The following table gives coordinates of a particle moving through space along a smooth curve.

Question 40

Find the velocity of a particle with the given position function.

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55

Find the speed of a particle with the given position function.

Question 56

Question 57

Question 58