I need both please Mty a) Fnd an xprassicn tar tha valodty at the particaa a tun
ID: 1881228 • Letter: I
Question
I need both please
Mty a) Fnd an xprassicn tar tha valodty at the particaa a tunction ot tie. (se any variabla or symhol taad aoe as nacasary. m/S [h] Determina the acceleration ar the particle aa a function of time (Is any variahle ar symbol stated ah0w, as necessary.] c) Calculate lhpdr tides pusitiu" dnd vekrity dl c = 2.00 s. m/s Need Help?HeadWeich It ports Se.PSE9 4.2009 MI.Fy Mty A fist, s "n" ng " d hore r tal plane has vel aty V- 4,00 1.00 " 8 dt d punt ", the uced" wher the p euw' relative to d certdr, rock r 14,0 2.00 m. Ar the fish sw 'ns with unst nt daele' dt un fr 19.0 s its vevuty s v 19.0 5.00 ' s b) What is tha direction of isaccaleration with raspact to unit vactor i? countcrclockwisc from the -x-axis C) tf the tish maintains constant acceleration, where at t-28.0 s? In what direction is it meving?Explanation / Answer
given
r = 6.2 i - 7 t2 j
t = 2 sec
a )
v = dr / dt
= d (6.2 i - 7 t2 j) / dt
v = - 14 t j m/s
b )
a = dv/dt
= d ( - 14 tj ) /d t
a = - 14 j m/s2
c )
r = 6.2 i - 7 t2 j
t = 2 sec
r = 6.2 i - 7 X 22 j
r = ( 6.2 i - 28 j ) m
v = - 14 t j m/s
= - 14 X 2 j
v = - 28 j m/s
---------------------------------------------------------------------
vi = 4 i + j
ri = 14 i - 2 j
v = 19 i - 6 j
a )
a = v - vi / t
= (19 i - 6 j) - (4 i + j) / 19
a = 15 i - 7 j / 19
a = 0.789 i - 0.368 j
ax = 0.789 i m/s2
ay = - 0.368 j m/s2
b)
angle = tan-1 ( -0.368 / 0789 )
angle = - 25o
it says the counterclock wise direction from x -axis.
c)
r = ri + vi t + 1/2 a t2
= (14 i - 2 j) + ( 4 i + j ) X 28 + 0.5 X (0.789 i - 0.368 j) X 282
r = (14 i - 2 j) + ( 112 i + 28 j ) + ( 309.288 i - 144.256 j )
r = 435.288 i - 118.256 j
x = 435.288 i m
y = - 118.256 j m
v = vi + a t
= ( 4i + j ) + (0.789 i - 0.368 j) X (- 28)
= 18.09 i + 11.3 j
ange = 32o
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