The kicker now kicks the ball with the a speed of 34 m/s at 60.0° from the...

B

BryceS

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The kicker now kicks the ball with the a speed of 34 m/s at 60.0° from the...

...horizontal, or 30.0° from the verti? Find
(a) its "hang time," that is, the time the ball is in the air.

(b) the distance the ball travels before it hits the ground.

(c) its maximum height.
 
@ 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 back into the i-component under Full Length to get the distance travelled.
d = 102m
(c) Solve for the time it takes for the ball to reach Maximum Height using the i-component under Max Height.
t = 3s
Plug the time into the j-component under Maximum Height to get the maximum height.
h = 44.19m
 
@ 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 back into the i-component under Full Length to get the distance travelled.
d = 102m
(c) Solve for the time it takes for the ball to reach Maximum Height using the i-component under Max Height.
t = 3s
Plug the time into the j-component under Maximum Height to get the maximum height.
h = 44.19m
 
@ 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 back into the i-component under Full Length to get the distance travelled.
d = 102m
(c) Solve for the time it takes for the ball to reach Maximum Height using the i-component under Max Height.
t = 3s
Plug the time into the j-component under Maximum Height to get the maximum height.
h = 44.19m
 
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