Problem

A boulder starting from rest rolls down a hill in…

03:31

Problem 6 Medium Difficulty

An object moves along the $x$ axis. Figure 2.43 shows a graph of its position $x$ as a function of time. (a) Find the average velocity of the object from points $A$ to $B, B$ to $C,$ and A to $C .$ (b) For the inter-A to $C .$ (b) For the inter-$A$ to $C .$ (b) For the intervals in part (a), would the average speed be less than, equal to, or greater than the values you found in that part? Explain your reasoning.

Answer

see solution

Related Courses

Physics 101 Mechanics

Discussion

You must be signed in to discuss.

Top Physics 101 Mechanics Educators

Watch More Solved Questions in Chapter 2

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

Problem 66

Problem 67

Problem 68

Problem 69

Problem 70

Problem 71

Problem 72

Problem 73

Problem 74

Problem 75

Problem 76

Problem 77

Problem 78

Problem 79

Problem 80

Problem 81

Problem 82

Problem 83

Problem 84

Problem 85

Problem 86

Video Transcript

Okay, so here we have t of at a tea at B and he had seen this is equaling zero seconds, 3.0 seconds and 6.0 seconds respectively. And we also have facts that a X at B x at sea This is equaling zero meters, 25.0 meters ands, aerial meteors, respectively. So for part A when we want to find the average velocity, it's simply going to be Delta X The fight. If I tell tha t eso when we want the average velocity from a to B, we get the this the displacement of B minus displacement at a divided by the time a bead right about minus the time, eh? And this will be 25 divided by TB modesty A would be three and this would equal 8.33 meters per second. And so we want to find the average velocity from B to see. We have the position at C minus the position at be divided by the t it seem honesty. It eh? And this is again Ah, not 25 over three, but negative 25 divided by six minus three. And this is again negative 8.33 meters per second velocity from A to C. This would be the exposition at C minus, the exposition at a divided by t of seem honest Eva now the denominator. Six. However, the change and displacement is equal to zero. So this was simply be zero meters per second and then for part B, it's asking us, Ah, would the speed change so essentially, for the A B. The magnitude of the displacement equals the total distance traveled, so that would be correct. So for a va bien, we can say that Ah, total distance traveled equals magnitude of displacement. Speed would be equal to B A p. Now for a beast, enough for the velocity. Fbc Again, the total distance traveled would be different than the magnitude of displacement, and speed is also always positive. So for BBC, this speed would be greater than BBC and the speed would also be greater. Rather, we can say speed is greater than cereal greater than BBC. And then for finally the see well, this is simply this is simply equal to zero because the displacement of zero, however, the speed doesn't measure displacement that measures total distance traveled again. So for V A. C. Um, for the third case, we can say that speed would be greater than zero and, of course, greater than the sea. So that would be for the first case, the second case and the third case. That's the end of the solution. Thank you for watching.

We have video lessons for 97.51% of the questions in this textbook