Worksheet
Kinematics Equations #1
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First, read each problem carefully. Then check each box to show which givens were supplied in the problem's statement. On your papers, write down all of your givens as well as which variable represents the requested solution. You should next write down the formula that you think will permit you to solve the problem. Finally, substitute in your givens, show your mathematical solution process, and box in your numerical answer with its appropriate units. Don't forget to check your final numerical answer online.
Refer to the following information for the next five questions.
1. An Indy-500 race car's velocity increases from 4.00 m/sec to 36.0 m/sec over an interval lasting 4.00 seconds.
Which kinematics variables are stated in this problem?
v
_{ o}
initial velocity
v
_{ f}
final velocity
a
acceleration
s
displacement
t
time interval
(a) What is the car's average acceleration?
Which kinematics equation did you use to solve this problem?
(b) How far does the car travel during this amount of time?
At this point in your solution, which kinematics equations are available for you to use to solve for the displacement?
Refer to the following information for the next five questions.
2. A golf ball rolls up a hill towards a putt-putt hole. It leaves the club traveling +2.0 m/sec and experiences an acceleration of - 0.50 m/sec
^{2}
.
(a) What will be its velocity after it has been rolling for three seconds?
Which kinematics variables were stated in this problem?
v
_{ o}
initial velocity
v
_{ f}
final velocity
a
acceleration
s
displacement
t
time interval
Which kinematics equation did you use to solve this problem?
(b) What will be its velocity after it has been rolling for a total of five seconds?
(c) Explain what happened to the ball between three and five seconds.
Refer to the following information for the next three questions.
3. While gliding down a steep hill, a bike rider experiences constant acceleration. After 4.50 seconds, he reaches a final velocity of 7.50 m/sec. The bike's displacement was 19.0 meters.
Which kinematics variables are stated in this problem?
v
_{ o}
initial velocity
v
_{ f}
final velocity
a
acceleration
s
displacement
t
time interval
How fast was the bike traveling when it first started down the hill?
Which kinematics equation did you use to solve this problem?
Refer to the following information for the next five questions.
4. An airplane starts from rest and accelerates at a constant 3.00 m/sec
^{2}
for 30.0 seconds before leaving the ground at the end of the runway.
Which kinematics variables are stated in this problem?
v
_{ o}
initial velocity
v
_{ f}
final velocity
a
acceleration
s
displacement
t
time interval
(a) How long was the runway?
Which kinematics equation did you use to solve this problem?
(b) How fast was the plane moving when it "lifted off" the ground at the end of the runway?
At this point in your solution, which kinematics equations are available for you to use to solve for the final velocity at liftoff?
Refer to the following information for the next three questions.
5. An airplane while in flight, accelerates from a velocity of 21.0 m/sec at a constant rate of 3.00 m/sec
^{2}
over a total of 535 meters.
Which kinematics variables are stated in this problem?
v
_{ o}
initial velocity
v
_{ f}
final velocity
a
acceleration
s
displacement
t
time interval
What was its final cruising velocity?
Which kinematics equation did you use to solve this problem?
Refer to the following information for the next two questions.
6. Statistically, a person wearing a shoulder harness can survive a car crash if the acceleration is smaller than - 300. m/sec
^{2}
. Assuming a constant acceleration, how far could the front end of a car collapse if the car impacts while going 28.0 m/sec and comes to a complete stop?
s =
Which kinematics equation did you use to solve this problem?
Refer to the following information for the next two questions.
7. If a bullet leaves the muzzle of a rifle with a speed of 600. m/sec, and the barrel of the rifle is 0.900 meters long, what is the acceleration of the bullet while in the barrel?
a =
Which kinematics equation did you use to solve this problem?
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