A5) A projectile is given a velocity vo. Detemine the angle o at which it should be launched so that d is a maximum. The acceleration due to gravity is g.
A5) A projectile is given a velocity vo. Detemine the angle o at which it should be launched so that d is a maximum. The acceleration due to gravity is g.
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Transcribed Image Text:A5) A projectile is given a velocity v,. Determine the
angle o at which it should be launched so that d is a
maximum. The acceleration due to gravity is g.
-) x = xo + (vo)xt
. d cos e = 0+ vo cos ot
d cos e
-(1)
:t =
vo cos ¢
1
1) y = yo + (vo)yt +at²
i d sin e = 0+ vo sin ot +(-g)t –-- (2)
d cos 0
d cos e
Substitute (1)into (2): d sin e = v, sin o
vo cos o
Vo cos o
(sin 20 – 2 tan e cos² 4)
g cos e
* d =
Vir d 'n maksimum:
d(d)
= 0
dø
d(d)
(cos 20 (2) – 2 tan 8 (2 cos p)(- sin o))
= 0 =
dø
:: (cos 2¢ + tan e sin 20) = 0
: (1+ tan e tan 20) = 0
g cos e
==tan- (-)
: tan 20
= -
tan e
tan e
Expert Solution
Step 1
Here we have described how the steps were done and generally what we do. Its a simple projectile motion but it makes unnecessary difficult for the student by adding one more angle means a plane which is making angle with our Cartesian coordinate. problem with Cartesian
coordinate is we have to do all our problems along our cartesian axis only. thats why so much difficulty with handling of angles.
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