SOLUTION: So initial velocity component in the x direction is equal to u*sin(angle). In the y direction = u*cos(angle). What would it be in the z direction? Where u is the initial velocity.

Algebra ->  Functions -> SOLUTION: So initial velocity component in the x direction is equal to u*sin(angle). In the y direction = u*cos(angle). What would it be in the z direction? Where u is the initial velocity.      Log On


   

Question 1114879: So initial velocity component in the x direction is equal to u*sin(angle). In the y direction = u*cos(angle). What would it be in the z direction? Where u is the initial velocity.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If u is the scalar value for the velocity vector u,
abs%28u%29=sqrt%28u%5Bx%5D%5E2%2Bu%5By%5D%5E2%2Bu%5Bz%5D%5E2%29
Substituting,
u=sqrt%28%28u%2Asin%28theta%29%29%5E2%2B%28u%2Acos%28theta%29%29%5E2%2Bu%5Bz%5D%5E2%29
u%5E2=u%5E2%2Asin%5E2%28theta%29%2Bu%5E2%2Acos%5E2%28theta%29%2Bu%5B2%5D%5E2
u%5E2=u%5E2%28sin%5E2%28theta%29%2Bcos%5E2%28theta%29%29%2Bu%5Bz%5D%5E2
u%5E2=u%5E2%281%29%2Bu%5Bz%5D%5E2
u%5E2=u%5E2%2Bu%5Bz%5D%5E2
u%5Bz%5D%5E2=0
u%5Bz%5D=0