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(Solved): Determine the horizontal and vertical components of each vector shown in the Figures below. (i) A. T ...



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



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