phys11_sm_01_r

62. (a) Step 1: Create a table of values to calculate the velocity and position at each time until the rock hits the
water.
Given:
Time
(s)
0.0
0.5
1.0
1.5
!
v i = 12 m/s [down]; ! ! d = 20 m [down]; ! a =
!
v = 12 m
s
!
"
#
Equation
!
v = ! v i + ! a !t
9.8 m
s
!
v = 12 m
s
!
"
#
9.8 m
s
!
v = 12 m
s
!
"
#
9.8 m
s
[down] +
2 [down]
[down] +
2 [down]
[down] +
2 [down]
$
%
& 0.0 s
Velocity
(m/s [down])
( ) 12
$
%
& 0.5 s
( ) 17
$
%
& 1.0 s
( ) 22
!
v = 12 m
[down] +
s
9.8 m
27
!
$
[down]
2
"
#
s %
& ( 1.5 s )
!
g = 9.8 m/s 2 [down]
Equation
! ! d = ! v !t + i 1 !
a !t
2
Copyright © 2011 Nelson Education Ltd. Chapter 1: Motion in a Straight Line 1-11
( ) 2
( )
! ! d = 12 m
s [down]
!
$
#
& 0.0 s
"
%
+ 1 ! m
# 9.8
2 " s
2 [down]
( ) 2
$
& 0.0 s
%
( )
! ! d = 12 m
s [down]
!
$
#
& 0.5 s
"
%
+ 1 ! m
# 9.8
2 " s
2 [down]
( ) 2
$
& 0.5 s
%
( )
! ! d = 12 m
s [down]
!
$
#
& 1.0 s
"
%
+ 1 ! m
# 9.8
2 " s
2 [down]
( ) 2
$
& 1.0 s
%
( )
! ! d = 12 m
s [down]
!
$
#
& 1.5 s
"
%
+ 1 ! m
# 9.8
2 " s
Step 2: Use these values to create velocity–time and position–time graphs.
2 [down]
( ) 2
$
& 1.5 s
%
Position
(m [down])
0.0
7.2
17
29