Worksheet
Kinematics Equations #2
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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. Over a period of 15 seconds a plane changes its velocity from 145 m/sec to 75 m/sec at a uniform rate of acceleration.
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 plane's average acceleration?
Which kinematics equation did you use to solve this problem?
(b) How far does the plane 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 six questions.
2. A cart moving at 12 m/sec begins to coast up a hill with a uniform acceleration of -1.6 m/sec
^{2}
.
(a) How far does it travel in six seconds?
Which kinematics variables are 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) How fast is it moving after it has traveled a total of 9 seconds?
At this point in your solution, which kinematics equations are available for you to use to solve for the final velocity?
(c) Explain what happened to the ball between six and nine seconds.
Refer to the following information for the next three questions.
3. A plane travels 500 meters while being uniformly accelerated from rest at a rate of 5 m/sec
^{2}
.
Which kinematics variables are stated in this problem?
v
_{ o}
initial velocity
v
_{ f}
final velocity
a
acceleration
s
displacement
t
time interval
What final velocity does it attain?
Which kinematics equation did you use to solve this problem?
Refer to the following information for the next five questions.
4. A driver of a car going 21 m/sec suddenly sees the lights of a barrier 40 meters ahead. It takes 0.75 seconds before the driver realizes that he should hit his brakes. Once he begins breaking, the average acceleration the car produces is -10 m/sec
^{2}
.
(a) How far did the car travel while the driver was "realizing" that he needed to start braking?
(b) How far does the car travel once he hits the brakes?
Which kinematics equation did you use to solve part (b) of this problem?
(c) Did the car hit the barrier?
Which order of the following s-t graphs would correctly put together a pictorial representation of this problem?
A, E, B
A, E, C
B, C, A
B, C, E
D, C, A
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