1. Derive equations (1.6) and (1.7) from equations (1.1) –-(1.5).

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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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Transcribed Image Text:BSP1422 Physics Laboratory Exp 1 Projectile Motion - Word Sign in File Home Insert Design Layout References Mailings Review View O Tell me what you want to do 2 Share X Cut Times New Ro - 12 -A A Aa - E-E-E- P Find- AaBbCcDc AaBbCcDc AaBbC AaBbCcC A aB AaBbCcC AaBbCcD AaBbCcDt Ba Copy e Replace Paste BIU-abe x, x' ,些。 1 Normal 1 No Spac. Heading 1 Heading 2 Title Subtitle Subtle Em. Emphasis Format Painter A Select - Clipboard Paragraph Font Styles Editing 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). Page 1 of 4 816 words DE + 100 P Type here to search 12:38 AM A a a 40) 3/21/2021 x目 w
BSP1422 Physics Laboratory Exp 1 Projectile Motion - Protected View - Saved
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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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Transcribed Image Text:BSP1422 Physics Laboratory Exp 1 Projectile Motion - Protected View - Saved Search AutoSave retroget File Home Insert Design Layout References Mailings Review View Help A Share P Comments 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. Page 4 of 4 D Focus 100% 10 of 749 words 12:41 AM O G 4) 21/03/2021
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