Chapter 2   Motion in One Dimension

31.

First leg

 

Second leg

 

Third leg

 

(a)

                    

 

 

 

 

 

 

(b)

 

 

 

35.

(a)

 

(b)

40.

Stone #1 thrown upward at 12.0 m/s

Stone #2 thrown downward at 12.0 m/s

The water is 20.0 m below the point of release of the stones therefore

 

(a)

 

 since the stone is moving downward we take the negative sign

 

 

 

(b)

 

 

44.

The total distance traveled is the area under the v vs. t curve.  We will approximate the curve by three sections.  In the first leg the car goes from 0 to 50 m/s in 15 s with a constant acceleration.  From 15 s to 40 s the car travels at a constant speed of 50 m/s and from 40 s to 50 s the car goes from 50 m/s to 0 with a constant acceleration.

(a)

Leg #1

Leg #2

Leg #3

 

(b)

Leg #1b

 

Leg #2b

(c)

Leg #1

Leg #2

Leg #3

(d)

Leg #1

Leg #2

Leg #3

(d)

average velocity =

 

48.

Worked in class

 

50.