Vector Review Problem. Calculate the vector sum (i.e, the resultant) for the fol

Question

Vector Review Problem. Calculate the vector sum (i.e, the resultant) for the following two velocity vectors: (13.0 m/s at 8.00°)(8.00 m/s at 21.0°) The angles are given with respect to the positive x axis. HINTS: You'll want to begin by calculating the x and y components of the two individual velocity vectors. Then answer the following questions about the resultant sum of the two vectors. x component of the resultant: y component of the resultant m/s m/s Magnitude of resultant (Units must be included): Direction: Please find your angle by measuring in the counterclockwise direction from the positive x axis

Explanation / Answer

Accoridng to the given problem,

Given,

u = 13m/s at 8o = 13[cos8o i + sin8o j]

v = 8 m/s at 21o = 8 [cos21o i + sin21o j]

Reasultant,

V = u + v

x component of the resultant is = 13cos8o + 8 cos21o = 20.34 m/s i

y componenet of the resultant is = 13sin80 + 8sin 21o = 4.676 m/s j

Magnitude of resultant is ,

V = 20.87 = 21 m/s

Direction of resultant,

? = 12.9468 = 13o

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