Physics
posted by Preston .
A particle undergoes three displacements.
The first has a magnitude of 15 m and makes an angle of 30 degrees with the positive x axis. The second has a magnitude of 8.6 m and makes an angle of 149 degrees with the positive x axis. After the third displacement the particle returns to its initial position.
Find the magnitude of the third displacement.
Answer in units of m

convert the two displacements to (x,y) values
add the two x & y values
that will be the final displacement. magnitude is √(x^2+y^2)
Respond to this Question
Similar Questions

chemistry
A man pushing a mop across a floor causes it to undergo two displacements. The first has a magnitude of 152 cm and makes an angle of 125° with the positive x axis. The resultant displacement has a magnitude of 150 cm and is directed … 
college physics
A man pushing a mop across a floor causes it to undergo two displacements. The first has a magnitude of 140 cm and makes an angle of 130° with the positive x axis. The resultant displacement has a magnitude of 144 cm and is directed … 
physics
A man pushing a mop across a floor causes the map to undergo two displacements. The first has a magnitude of 200 cm and makes an angle of 120° with the positive x axis. The resultant displacement has a magnitude of 240 cm and is directed … 
physics
A particle undergoes two displacements. The first has a magnitude of 160 cm and makes an angle of 105.0° with the positive x axis. The resultant displacement has a magnitude of 140 cm and is directed at an angle of 35.0° to the positive … 
science
vector A has a magnitude of 12 units and makes an angle of 30 with the positive xaxis.vector b has a magnitude of 8 units and makes an angle of 80 with the positive xaxis.using a graphical method , find the magnitude and direction … 
physics
A particle undergoes two displaments , measured from the positive xaxis, with counterclockwise positive.The first has a magnitude of 11 m and makes an angle of 88 with the positive xaxis. The resultant displacement has a magnitude … 
Physics
A particle undergoes three displacements. The first has a magnitude of 15 m and makes an angle of 40 ◦ with the positive x axis. The second has a magnitude of 6.2 m and makes an angle of 158 ◦ with the positive x axis. … 
physics
A particle undergoes two displacements. The first has a magnitude of 135cm and makes an angle of 114° with the positive x axis. The resultant displacement had a magnitude of 183cm and is directed at an angle of 21.8° to the positive … 
trig
Find the component form of v given its magnitude and the angle it makes with the positive xaxis. Sketch v. Magnitude Angle v= 7/2 45 degrees v=( , ) 
Physics
A particle undergoes two displacements, measured from the positive xaxis, with counterclockwise positive. The first has a magnitude of 11 m and makes an angle of 67 ◦ with the positive x axis. The resultant displacement has …