@ Full Length
i: d = Vo*cos(theta)*t
j: 0 = Vo*sin(theta)*t - 0.5*9.81*t^2
@ Max Height (Half Distance)
i: d/2 = Vo*cos(theta)*t
j: h = Vo*sin(theta)*t - 0.5*9.81*t^2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
(a) Solve for the time using the j-component under Full Length.
t = 6s
(b) Plug the time...
@ Full Length
i: d = Vo*cos(theta)*t
j: 0 = Vo*sin(theta)*t - 0.5*9.81*t^2
@ Max Height (Half Distance)
i: d/2 = Vo*cos(theta)*t
j: h = Vo*sin(theta)*t - 0.5*9.81*t^2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
(a) Solve for the time using the j-component under Full Length.
t = 6s
(b) Plug the time...
@ Full Length
i: d = Vo*cos(theta)*t
j: 0 = Vo*sin(theta)*t - 0.5*9.81*t^2
@ Max Height (Half Distance)
i: d/2 = Vo*cos(theta)*t
j: h = Vo*sin(theta)*t - 0.5*9.81*t^2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
(a) Solve for the time using the j-component under Full Length.
t = 6s
(b) Plug the time...
Analytically:
m1*v1 + m2*v2 = (m1+m2')*vf
0.5*m1*v1^2 = K1
0.5*(m1+m2')*vf^2 = K2
K1 - K2 = KE lost in collision.
Numerically:
Let me know if you need me to plug the numbers in..