Determine the horizontal and vertical components of each vector shown in the Figures below. (i) A. The horizontal components are: (i)
v_(x)=19f(t)/(s)*cos143\deg
, the negative sign indicates to the left. (ii)
a_(x)=(15*68(m)/(s^(2)))/(\sqrt(8^(2)+15^(2))), to the left.
The vertical components are: (i)
v_(y)=19f(t)/(s)*sin143\deg
, the positive sign indicates upwards. (ii)
a_(y)=(8*68(m)/(s^(2)))/(\sqrt(8^(2)+15^(2))), upwards.
B. The horizontal components are: (i)
v_(x)=19f(t)/(s)*cos(180\deg -143\deg )
, the negative sign indicates to the left. (ii)
a_(z)=(15*68(m)/(s^(2)))/(\sqrt(8^(2)+15^(2))), to the left
The vertical components are: (i)
v_(y)=19f(t)/(s)*sin(180\deg -143\deg )
, the positive sign indicates upwards. (ii)
a_(y)=(8*68(m)/(s^(2)))/(\sqrt(8^(2)+15^(2))), upwards
C. The horizontal components are: (i)
v_(x)=19f(t)/(s)*cos(180\deg -143\deg )
(ii)
a_(x)=(15*68(m)/(s^(2)))/(\sqrt(8^(2)+15^(2)))
, to the left. Determine the horizontal and vertical components of each vector in the Figures below. (i) (ii) A. (i) The horizontal and vertical components will be:
(28f(t)/(sec))*cos(245\deg )
and
(28f(t)/(sec))*sin(-115\deg )
, respectively. (ii) The horizontal and vertical components will be:
(4)/(5)*40Nlarr
and
(3)/(5)*40Ndarr
, respectively. B. (i) The horizontal and vertical components will be:
-28*cos(115\deg )f(t)/(sec)
and
-28*sin(115\deg )f(t)/(sec)
, respectively. (ii) The horizontal and vertical components will be:
40*sin(53.1\deg )N->
and
40*cos(36.9\deg )Ndarr
, respectively. C. (i) The horizontal and vertical components will be:
28*cos(115\deg )f(t)/(seclarr)
and
28*sin(245\deg )f(t)/(sec)
respectively. (ii) The horizontal and vertical components will be:
40*sin(-143\deg )Nlarr
and
40*sin(216\deg )Ndarr
, respectively. D. (i) The horizontal and vertical components will be:
28*sin(25\deg )f(t)/(seclarr)
and
28*sin(65\deg )f(t)/(secdarr)
, respectively. (ii) The horizontal and vertical components will be:
(3)/(5)*40Nlarr
and
(4)/(5)*40Ndarr
, respectively. E. (i) The horizontal and vertical components will be:
28*cos(65\deg )f(t)/(seclarr)
and
28*cos(25\deg )f(t)/(secdarr)
, respectively. (ii) The horizontal and vertical components will be:
(5)/(3)*40Nlarr
and
(5)/(4)*40Ndarr
, respectively. 29