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An arrow is shot from a bow at 20.0 m/s at an angle of 65º above the horizontal. The arrow leaves the bow at a height of 1.80 m. At what height will it strike a wall that is 10.0 m away? (Remember to connect the two motions of the arrow using time.)

Respuesta :

In vertical motion the arrow will be accelerating so we can use equation of motion 
but first we need to find initial vertical and horizontal velocity

Horizontal velocity
cos65=x( horizontal)/20
x=8.45m/s 
Thus now we can calculate time after which it strike the wall
8.45=10/t
t=1.18 s this speed in horizontal will remain constant
vertical intial velocity
sin65=y(vertical)/20
y=18.13 m/s
use the equation of motion to calculate height
s=ut+1/2 at^2
s=(18.13)(1.18)+ 1/2 (-9.8)(1.18^2)
s=21.40-6.822
s=14.58 m
but as it is already 1.80 above ground  
So
The height of wall be =14.58+1.80=16.38m
ANSWER 16.38 meters

Answer:

16.4m

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