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4 Jun 9/20/2017 10:00 PM 0 80/1009/13/2017 11:37 AM Print Cakuator Periodic Tubk

ID: 1656511 • Letter: 4

Question

4 Jun 9/20/2017 10:00 PM 0 80/1009/13/2017 11:37 AM Print Cakuator Periodic Tubk Question 2 cf 13 Sapling Learning Map You would like to shoot an orange in a tree with your bow and arrow. The IS ng 5.00 m above the ground. On your fire the arrow at 37.0 m/s at an first angle of 30.0 above the horizontal from a height of 1.10 m while standing 48.0 m away. Treating the arrow as a point 30.0 and neglecting air resistance, what 5.00 m the height of the arrow once it has traveled the 48.0 m horizontalily to the tree? 1.10m Number 48.0 m If you fire at the same speed and angle on your second try, how far away could you stand such that the arrow will hit the orange? Assume that the orange remains fixed in place during the arrow's flight. Select all that apply 1 7.2 m 49.6 m 114m 88m 112 m O Prevous Check Answer 0 Nextit Hint about us careers privacy policy terms of use contact us 20

Explanation / Answer

consider the motion along the X-direction

Vox = initial velocity = 37 Cos30

X = horizontal displacement = 48

using the equation

X = Vox t

48 = (37 Cos30) t

t = 1.5 sec

consider the motion along the Y-direction

Voy = initial velocity = 37 Sin30

a = acceleration = - 9.8

Y = vertical displacement = ?

t = time of travel = 1.5

using the equation

Y = Yo + Voy t + (0.5) a t2

Y = 1.10 + (37 Sin30) (1.5) + (0.5) (-9.8) (1.5)2

Y = 17.825 m

b)

consider the motion along the Y-direction

Yo = inital position = 1.10 m

Voy = initial velocity = 37 Sin30

a = acceleration = - 9.8

Y = final position = 5

t = time of travel = ?

using the equation

Y = Yo + Voy t + (0.5) a t2

5 = 1.10 + (37 Sin30) t + (0.5) (-9.8) t2

t = 3.6 sec

consider the motion along the X-direction

Vox = initial velocity = 37 Cos30

X = horizontal displacement = ?

using the equation

X = Vox t = (37 Cos30) (3.6) = 115.4 m

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