Mathematics
110 Online
zarkam21:
Help
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zarkam21:
Nicole:
@Vocaloid
@dude
Shadow:
Tag me when you are back online.
zarkam21:
Here @Shadow
zarkam21:
@Vocaloid
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Vocaloid:
horizontal component is velocity * cos(theta)
vertical is velocity * sin(theta)
zarkam21:
8.3 * cos(27)=
Vocaloid:
good now evaluate that
zarkam21:
7.4
Vocaloid:
good, now keep going w/ the vertical component
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zarkam21:
8.3 * sin(27)
Vocaloid:
good, evaluate that
zarkam21:
3.77
zarkam21:
are there any units
Vocaloid:
these are velocities so the units are...?
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zarkam21:
m/s
Vocaloid:
good
Vocaloid:
use the first kinematic equation to find the time for c)
zarkam21:
v=8.3+(9.8)(
Vocaloid:
we are only interested in the velocity in the vertical direction so use the vertical component of velocity as v initial
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zarkam21:
so 3.77
Vocaloid:
yes
remember, at the peak of a curve the velocity is 0
using this information, solve for t
zarkam21:
3.77=0+(9.8)(8.3)
Vocaloid:
the initial velocity is the vertical component of velocity
the final velocity is 0 because we are ending at the top of the curve
Vocaloid:
when you set up an equation, the variable you are solving for is left as a variable so you have something to solve for
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Vocaloid:
so, since we are solving for t, your equation must have t as a variable not a number
zarkam21:
0=3.77+(9.8)t
Vocaloid:
good (just use -9.8 since the acceleration is downward)
0 = 3.77 + (-9.8)t solve for t
zarkam21:
0.38
zarkam21:
m/s
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Vocaloid:
what are the units of time?
zarkam21:
oh never mind
Vocaloid:
still there?
zarkam21:
Yes
zarkam21:
that would be my final answer right
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Vocaloid:
what are the units of time?
zarkam21:
seconds
Vocaloid:
good so 0.38 seconds
zarkam21:
cool now for d
Vocaloid:
use equation 3 to find the vertical distance
remember you must use the vertical component of the initial velocity and a as -g
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zarkam21:
3.77+1/2(-9.8)t
Vocaloid:
t^2 not t
Vocaloid:
plus we already solved for t (0.38 seconds) so you can plug that in for t
zarkam21:
3.77+1/2(-9.8)(0.38)
Vocaloid:
3.77 + (1/2)(-9.8)(0.38)^2 ---> then evaluate this
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zarkam21:
3.06
Vocaloid:
good, so that's the max height
Vocaloid:
e) total time for a parabolic projection is time to the height * 2
so take the answer from part c) and double it
zarkam21:
0.76
Vocaloid:
good
for f) we only need to consider the horizontal velocity
so horizontal velocity = horizontal distance/time, solve for distance
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zarkam21:
so um 7.4
Vocaloid:
the horizontal component is 8.3cos(27) m/s
the time is 0.76 seconds
solve for distance
zarkam21:
0.76*8.9(cos)27
Vocaloid:
good, now evaluate that
zarkam21:
6.03
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Vocaloid:
you accidentally typed 8.9 instead of 8.3
Vocaloid:
try this 0.76* 8.3 * cos(27)
zarkam21:
5.62
Vocaloid:
good
zarkam21:
that would be m/s
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Vocaloid:
"how far"
what units would this be?
zarkam21:
m
Vocaloid:
good m
zarkam21:
for d it would be m/s and e seconds right?
Vocaloid:
"maximum height"
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zarkam21:
m
Vocaloid:
good, e is still seconds