Aurora Martínez
María Victoria Rodríguez
Beatriz Pérez
RESULTS
Aluminium
paper ball: 3,54g
The
elastic band was stretched 10cm
Table to show the distance the ball reaches
(m)
|
||||
DEGREES (º)
|
TRY 1
|
TRY 2
|
TRY 3
|
AVERAGE
|
0
|
2,80
|
2,73
|
2,94
|
2,82
|
20
|
3,80
|
3,91
|
0,80
|
2,84
|
45
|
9,10
|
8,90
|
9,90
|
9,30
|
60
|
5,10
|
5,20
|
7,20
|
5,83
|
80
|
3,00
|
2,80
|
2,30
|
2,70
|
Conclusion: As the graph and
table shows the optimum angle would be 45º as it is when the ball reached its
maximum length. If we take into account the anomalies as for example would be
0.80 metres at 20º the optimum angle will also be 45º. The yellow line shows
this peak observed in the graph.
Also in the graph we can observe differences
between the first two attempts and attempt 3 which probably is when we
committed some mistakes as there is a huge difference from the lowest value to
the highest value: from 0.80 to 9.90 (this difference is not presented in
attempt 1 neither in attempt 2).
Afterwards the shots of 60º reach much higher
distance than the others. In addition to this the other angles have lengths
quite similar.
Also to obtain clearer conclusions it could have
been a good idea to use different masses for the aluminium ball and to change
the length of stretching the rubber band.
I conclude that majority of the experiment was
well done as it resulted the optimum launching angle was the one researched.
We can determine the range of a projectile
(displacement in horizontal direction) through the equation R
. R
is the range of the projectile and vi is the initial velocity.
is the launch angle and g gravity. Knowing the
distance reached of the projectile could be very interesting when changing the
angle of release or the speed. If we increase the launch speed, the range will
increase. However, if we increase the angle of release, the range will be very
low.
R= 10,2 meter. We observe how 45º is the optimal launch angle as 10,2 is very close to
the result where we obtained the higher range, 9.90 m.
References:
General Launch Angle. (2014). Boundless. Retrieved from https://www.boundless.com/physics/textbooks/624/two-dimensional-kinematics-3/projectile-motion-42/general-launch-angle-229-6255/
Physicsclassroom.com,. (2015). Maximum Range. Retrieved 16 April 2015, from http://www.physicsclassroom.com/mmedia/vectors/mr.cfm
Vista, T. (2015). Projectile Motion Formula | Formula
for Projectile Motion | Formulas@TutorVista.com. Formulas.tutorvista.com.
Retrieved 16 April 2015, from http://formulas.tutorvista.com/physics/projectile-motion-formula.html
Fitzpatrick, R. (2015). Projectile Motion with Air
Resistance. Farside.ph.utexas.edu.
Retrieved 16 April 2015, from
http://farside.ph.utexas.edu/teaching/336k/Newtonhtml/node29.html




