A.
Student
\L~¥
Class -----
Date ----
Acceleration 2
Use the acceleration equations on the Reference Table to answer the following
questions. Show all work on your notebook, including formulas with substitution,
significant figures and units.
Average velocity
1.
A skater increases her velocity from 2.e m/s to 1e.e m/s in 3.e
s. What is her average velocity during this time interval?
v -=
2.
_V,+Vf_
2...
2.0 ~/5 + 10.0 ~/i::
2..
While traveling along the highway a driver slows down from 24 m/s
to 15 m/s in 12 s. What is the driver~s average velocity?
v-==
'Ii + Vi-
24"""'s-+
IS"",J~ -
2...
2..
39~1~
2.
2.0. Wl/.s]
(V':::
+ b O. w/s
25~/s
2.
-
~2..5~/.s
(at rest)
t -=
\SS
Vf
-:;?
(2
5l~
f;~5)
eas.+
t"
~(A~\.\i+l{cle AND
J~rechoV1
etls+ J
A plane starting at rest at one end of the runway undergoes a
uniform acceleration of 4.8 m/s2 for 15 s before takeoff. What is
its speed at takeoff? How long must the runway be for the plane
to be able to take off?
~
~
\lit + ±~:6c:.
4.
4.~~/.s
''l.S'''''l...s
( V ~ 43lM/s
Velocity and Displacement
a,::
'"
A helicopter is going east and its speed increases from 25 m/s to
6e. m/s in 5.e s. What is the magnitude and direction of the
helicopter~s average velocity?
3.
Vj=Q
6.0 -.,..,,1>
®
.
Vf = \}~+a.+
1-
lV-\
:=
0.0;
=
,2
<sf-feJ
~A~
+ 4.g ~ (151)
WI/s)
\"'\e~",>
*'" J e
~·l
a \'\l'f
)
do::
c
.._j_=:,.b ./
a::. o , q LWI I $ 7..
.d?~.
d=
,
Cd ~
vr-;'l
~.
s.s. twI;AI
b·C;""'S-r
•
J.b>
z,
2(h~~J
A car with an initial speed of 6.5 m/s accelerates at a unifor:\
rate of e.92 m/s2 for 3.6 S.· Find the final speed and
~
displacement of the car duri~ th.iS time.
~I
5.
~
'CJ
®
'::: (,.~MI?-+
r-f~
.
d= VI,,t+
f
V.f--:::V~+at
1
ZGtt
~
'"1.
::: b.5~ (3.b.s)+±(O.Q2
O.q2.~ (3.6.$)
~) ('3.{,~)
l~
q.~ ~,~
An automobile with an initial speed of 4.3e m/s accelerates at
the rate of 3.ee m/s2. Find the final speed and displacement
v~'-=4.'o""'l; after s.ee s.
6.
®. Vf=
""/S~
(A::::'}.oQ
Vi.+o.t
_
=4.'~o~'$+
5.005
t,.-==
®e
?
"f-=- ,
~f '" Iq.3
rJ~?
d= "'t:+
1
()..i1.
L
t
(5.0o~) d~(~.'30!l)(5.0()$)+~
~.()O~
J
@'" 5'10
..,,> 1
~
L
(3.oo~ )(5,001)
>~
@
ct "'" V t
=
A car starts from rest and travels for 5.es with a constant J
4.30+ 1f/,3 ~ (~.{)J)
~
s
~Q (4*,'f"e~t) acceleration of -1.5 m/s2. What is the final velocity of the car?
How far does the car travel in this time interval?
[ rl-::: [;9
ll~...-\.S""t/.s'1•
7.
V,
\},f -::
"f~Vl+at
?
)(5. o s )
("e\~'h)
~ 0 t- (...1.~ ~
1)
d-:::v~t-t-~a.t(.
~"'O (q. os) +1 {_I.~~
D..:::. -
'2..0 MIS 1.
\If==-
\0.0",,15
@
8.
'1,:;:.\5.0\"1'11,$
t.=
?
::: -1.5",'
~ -V~
-t
D.=
-==)
.l..
__
L.:.
9.
Vi =-0.
Ct=
°"-1'>
o,soo~
vf=
?
d_:~·75M
of
-L _ Vt - V L
-
0-
((;''.
V
'l.
lO.O - 15.0 Wllj
~
--__;;---'::: ~
- 2...0 'M/J 1
Vf"l. == (0.0:
@~ 3/~
Vf::=
=
V 4.75
5i
~
?
~
--------------------------------------
V
'M
(2 si'(J fL'~S)
1- _
f -
V ,1..
_
l
-+ w.o..
J
V£~=( O.O~ )~+ 2.(O.)OO~
"1.
-=
I
"",'L
0.';2
5"1-
T;""4
Vf::VG.3L
)(b.'3l.~)
s....
S
'l
(4 .7~k;o )
Vf
WI'l.
4.1S
6.32
Vf=-
t+ 2,( O.SOofz.)
( 2. S s )
2.
c:A -=
Yf ':. Vi. + VA '1
l~ ':
®
:= Iq. 0 + l 0,() ~
J
2.
Vf
.--.
-==
CfO.Slh ve)
A person pushing a stroller starts from rest, uniformly
accelerating at a rate of e.5ee m/s2. What is the velocity of the
stroller after it has traveled 4.75 m? What is the velocity if ~
the stroller has traveled 6.32 m?
't.
__
I>lJt.~Ce
~>
Final velocity after any displacement
'
)(5. os f- -::- 1'1 ""
01"rl.,e~e:i
,
_ ~l<a'" (5a.~e QJ >(~~
E-) ~eq"S" CIA...- ,l s 5 f-eed(l~-& c.(_f
A dr-Iver of a car tr-ave.l
ing at 15.e m/s applles the brakes,
causing a uniform acceleration of -2.e m/s2. How long does it
take the car to accelerate to a speed of 1e.e m/s? How far has
the car moved during the braking period?
~f
0
-::: [2.ql~
18.
A car traveling initially +7.8 m/s accelerates uniformly at the
rate of +8.88 m/s2 for a distance of 245 m.
'Ii -= -+ '.O~'>
a.
What is its velocity at the end of the acceleration?
a -= + O. ~o MIs'
d::.
L.
".f -=
V f 1.-= (••
2.45-"'"
?
Vf=-
+
Vr1..-= 4'-11
J
'l.
\[1..
.,..
2.tAO
0 ~ Ij ) 2..
+
[ Vf -=
2. ( o, t 0 ~ ) (L~ 5 IIVI )
t'1~
5"1...
2-) w, I >. )
b. What is its velocity after it accelerates for 125 m?
1.
'V..f -=
V.f
'2.
,
Vf1. -:: z, 4 <1 "" '1.
>'1-
V L + '2- ct c,(
1.=
(7.\)"'"
1»2.
+
fa
2.. (0.
~/Sl..)
(I1.S"'" )
(Vf ~ \bWl/S)
c. What is its velocity after it accelerates for 67 m?
L
t,
V..f :::::
VI.,
+ ~C\.
1.
-,
V.f::'
~
Vf"-:::: (1.0 'WIIS) L -+'2._{_ 0.80
11.
Vi.
z:.- a.OMIJ
o: -= '2... 3 N.L s 1.-
d:::. ~.
\'VI,,- )
s
b7 'Nt) ~
L:£J-=
(
I 5 b • 2.
\2.~q1
....,/$
W\
~
1./ '> l..
J~'' ' ' ,:-}
~'-M
~
A car accelerates uniformly in a straight line from rest at the
rate of 2.3 m/s2.
a. What is the speed of the car after it has traveled
Vf"L-: V~'L+
Vv'
\If"\. -= (0. a
'If -:;..?
2.a.d
~'s.y-+ 2..(2.~M/.s1.)
(~5"",)
b. How long does it take the car to travel 55 m?
12.
'If:::'
Ol
t. 5 ""l~
A motorboat accelerates uniformly from a velocity of 6.5 m/s to
the west to a velocity of 1.5 m/s to the west. If its
acceleration was 2.7 m/s2 to the. east, how far did it travel
during the acceleration?
@
~
,
y.
= 2. 1"""/
r:;
o~
L
V,f z: v~1..+
'l,...
c;.\-::::'
-
'2...
7 """~
Uta
1..
(1.5 n-,/~) . t: (ro.s~
1.-
"",'2..
'2 • 2. 5 -""i:" z: 42.2.5~
s
-
'-I
o~
... j
IS)?"'.f- 2.
~ -5.
Sl..
-
~fod
(-l.l~)
5.4 :
S
c1
o\~${ci~ce
(-,c->:
·d
@d-:::.--_ '10
-S·~
"'"
~C1.~~
An aircraft has a liftoff speed of 33 m/s. What mInImum constant
acceleration does this require if the aircraft is to be airborne
after a take-off run of 24a m?
13.
V\=-O.olMl.s
'1..
Vf z: 3'; WlI!>
GL -:::.
V.f
?
=:
Vi..
l..
+
d
(~ '> ~:> ) '1.. =:- (o , 0
d:=- 'l.. '-1 0 W1
'084 'M-l :::
.s~
480
~
.s
)1.
+
2 ~ ( z4 0 ~
)
l' f(
A certain car is capable of accelerating at a uniform rate of
a.85 m/s2. What is the magnitude of the car's displacement as it
accelerates uniformly from 22 m/s to 26 m/s?
14.
0...-0 g~~
-'
2._~
St.
V' \-- 2'2. """'5
vf
z: Zb.~I~
d -;::7
Nathan accelerates his skateboard uniformly along a straight path
from rest to 12.5 m/s in 2.5 s.
15.
Vi=O.OIM($
'1+ = \'L. 51M1 $
a. What is Nathan's acceleration?
t ~'2.-.'5S
~
a.=-?
\V'-O.o
2.5.>
...
~
=~
52-
b. What is Nathan's displacement
d "::vi.::
t£
.l Cv;
2.
+- Vf )
during this time interval?
t =- 1.. ( 0 . 0
~
5
2.
O(l.
=- I 5 .b l1t;;
Cd ~ \ b
t- 12..5 ~ ) ( '2. 5 s)
5
.
.
M
c. What is Nathan's average velocity during this time interval?
.d:= vd~~ i.~t
'1..
~
l
:: o·+l(q.!: )(2.5S)
Z
$1.
.
~8
1.
V -;;.
Vi+Vf
Z.
O.o~
+-\2.S-~
L
-
r "5
e , c,
h'\
,._
5" -
~ 6. 3 ~
.5
w,