## Determine resultant of two vectors using components of vector

Solved problems in vectors – determine resultant of two vectors using components of the vector 1. F1 = 6 N, F2 = 10 N. Determine resultant vector. Solution F1x = F1 cos 60o = (6)(0.5) = 3 N (positive because it has same direction with x axis) F2x = F2 cos 30o = (10)(0.5√3) = …

## Determine resultant of two vectors using cosines equation

Solved problems in vectors – determine resultant of two vectors using cosines equation 1. F1 = 10 N and F2 = 20 N. Determine resultant vector. 2. A1 = 15 and A2 = 9. The angle between the two vectors is 60o. Determine the resultant vector. Solution 3. v1 = 5 and v2 = 12. …

## Determine resultant of two vectors using Pythagorean theorem

Solved problems in vectors – determine resultant of two vectors using the Pythagorean theorem 1. Determine the resultant of the two displacement vectors as shown in the figure below. 2. Find the resultant of two forces, 12 N and 5 N. 3. A student walks 4 meters to the west, then 6 meters to the …

## Determine vector components

Solved problems in vectors – determine vector components 1. A force of 20 Newton makes an angle of 30o with the x-axis. Find both the x and y component of the force. Solution Fx = F cos 30o = (20)(cos 30o) = (20)(0.5√3) = 10√3 Newton Fy = F sin 30o = (20)(sin 30o) = …

## Determine resultant of in a line vector

Solved problems in vectors – determine resultant of in a line vector 1. A student walks north as far as 10 meters and then to the south as far as 4 meters. Displacement of the student is… Solution R = 10 m – 4 m = 6 meters Magnitude of displacement is 6 meters, direction …

## Determine final velocity of projectile motion

1. A kicked football leaves the ground at an angle θ = 30o to the horizontal with an initial speed of 14 m/s. Calculate the final velocity before the ball hits the ground. Known : Angle (θ) = 30o Initial velocity (vo) = 14 m/s Acceleration of gravity (g) = 10 m/s2 Wanted : Final …

## Determine the position of an object in projectile motion

Solved problems in projectile motion – determine the position of an object 1. A body is projected upward at an angle of 60o to the horizontal with an initial speed of 12 m/s. Determine the position of the object after moving for 1 second! Acceleration of gravity is 10 m/s2. Known : Angle (θ) = …

## Determine time interval of projectile motion

Solved problems in projectile motion – determine the time interval 1. A kicked football leaves the ground at an angle θ = 30o to the horizontal with an initial speed of 10 m/s. Calculate the time interval to reach the maximum height! Acceleration of gravity is 10 m/s2. Known : Angle (θ) = 30o Initial …

## Determine the maximum height of projectile motion

Solved problems in projectile motion – determine the maximum height 1. A kicked football leaves the ground at an angle θ = 60o with the horizontal has an initial speed of 10 m/s. Calculate the maximum height! Acceleration of gravity is 10 m/s2. Known : Angle (θ) = 60o Initial speed (vo) = 10 m/s …

## Determine horizontal displacement of projectile motion

Solved problems in projectile motion – determine the horizontal displacement 1. A kicked football leaves the ground at an angle θ = 60o with the horizontal has an initial speed of 16 m/s. How long will it be before the ball hits the ground? Known : Angle (θ) = 60o Initial speed (vo) = 16 …