Question

Robin Hood wishes to split an arrow already in the bull's-eye of a target 40 m away.

If he aims directly at the arrow, by how much will he miss? The arrow leaves the bow horizontally at 37 m/s .
Express your answer to two significant figures and include the appropriate units.

Answer 1

Answer:

5.843 m

Explanation:

suppose that the arrow leave the bow with a horizontal speed , towards he bull's eye.

lets consider that horizontal motion

distance = speed * time

time = 40/ 37 = 1.081 s

arrow doesnot have a initial vertical velocity component. but it has a vertical motion due to gravity , which may cause a miss of the target.

applying motion equation

(assume g = 10 m/s²)

$s=ut+\frac{1}{2}*gt^{2}  \\= 0+\frac{1}{2}*10*1.081^{2}\\= 5.843 m$

Arrow misses the target by 5.843m ig the arrow us split horizontally