Vectors and velocity?

Question

. A VELOCITY VECTOR OF 10MS IS DIRECTED AT 30 DEGRESS ABOVE THE POSITIVE X-AXIS. wHAT IS THE MAGNTUIDE OF ITS Y-COMPONENT?

2. A VECTOR has components 3.0m east and 4.0m north. what is the vectors magnitude and direction?

3. A soccer ball is kicked with a velocity of 10 m/s at a 60 degree angle above the ground. what is the vertical compponebt of the ball's velocity whenits leaves the ground?

Answer 1

.<< A VELOCITY VECTOR OF 10MS IS DIRECTED AT 30 DEGRESS ABOVE THE POSITIVE X-AXIS. wHAT IS THE MAGNTUIDE OF ITS Y-COMPONENT? >>

Y-component = 10(sin 30) = 10(1/2) = 5 m/sec.



<< 2. A VECTOR has components 3.0m east and 4.0m north. what is the vectors magnitude and direction? >>

Magnitude = sqrt(3^2 + 4^2) = sqrt(25) = 5

Direction = arc tan (4/3) = 53.13 degrees (first quadrant)



<< A soccer ball is kicked with a velocity of 10 m/s at a 60 degree angle above the ground. what is the vertical compponebt of the ball's velocity whenits leaves the ground? >>

Vertical component = 10(sin 60) = 10(sqrt 3)/2 = 8.66 m/sec.