College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:BSP1422 Physics Laboratory Exp 1 Projectile Motion - Word
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Vertical motion
x= x, + v
(1.1)
(1.2)
v = v0
Horizontal motion
(1.3)
y = y, + Vye - gr
v, = Vyo - gt
|
(1.4)
v, = v, - 2g (y- y,)
(1.5)
We can rearrange the kinematic equation above to get the value of maximum height, a, at
different angle, 0 of projection.
sin e
(1.6)
2g
While the maximum range, R is obtained from
5 sin 20
R =.
(1.7)
g
Therefore, if initial velocity, vo and angle is known, the maximum height and maximum range
of the projectile can be calculated using equations (1.6) and (1.7).
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Result, Discussion and Questions
1.
Derive equations (1.6) and (1.7) from equations (1.1) – (1.5).
From the recorded data, plot the graphs of
(i)
(ii)
(iii)
2.
Maximum height, hmax against sin² 0
Range, R against sin 20
Range, R against initial velocity, vo
3.
Calculate the gradient of each of the plotted graph. Compare the value of the calculated
gradient of the graphs to the theoretical value which can be calculated from equations
(1.6) and (1.7).
4.
Discuss the relationship between maximum height, range and inclination angle.
5.
Discuss the relationship between maximum range and initial velocity.
6.
Assuming mass, initial velocity and gravity is constant, find the angle of inclination to
get the highest maximum height, and the angle of inclination to get the longest range
possible.
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