Alvaro, an archer, aims an arrow at a 25 angle at an apple across field. Alvaro fires the arrows from a height of 1.0m with an initial speed of 33m/s and hits the apple, which is 4m above the ground. how far away ( horizontal distance, X) is Alvaro fro the apple?

Question

Alvaro, an archer, aims an arrow at a 25 angle at an apple across field. Alvaro fires the arrows from a height of 1.0m with an  initial speed of  33m/s  and hits the apple, which is 4m above the ground. how far away ( horizontal distance, X) is Alvaro fro the apple?

unklerhaukus · Answer

|dw:1391947562998:dw|

rane · Answer

i have drew the same diagram, i just wana know how to solve it

unklerhaukus · Answer

is there some information that is missing?

rane · Answer

thats all wht I'm given

unklerhaukus · Answer

maybe it is more like this |dw:1391947993022:dw|

unklerhaukus · Answer

$$y(t)=y_0+v_{y_0}\cdot t+\tfrac12a_y\cdot t^2\\quad=y_0+v_0\cdot\sin\theta\cdot t-\tfrac12g\cdot t^2\
\qquad=1+33\cdot\sin(25°)\cdot t-\tfrac12\cdot9.8\cdot t^2$$
$$y(t_f)=1+33\cdot\sin(25°)\cdot t_f-\tfrac12\cdot9.8\cdot t_f^2=4$$

unklerhaukus · Answer

$$x(t)=x_0+v_{x_0}\cdot t+\tfrac12a_x\cdot t^2\
\quad =v_0\cdot\cos\theta\cdot t\
\qquad=33\cdot\cos(25°)\cdot t $$

$$x(t_f)=33\cdot\cos(25°)\cdot t_f$$

rane · Answer

can u pls explain it first, i don't want answers i wana know how to solve it my own