Horseback archery is still a popular sport in Japan. Suppose an arrow is leaving

Question

Horseback archery is still a popular sport in Japan. Suppose an arrow is leaving the bow at a
speed of 100 m/s, and the target is straight ahead at a distance of 1.5 km away. Would the
arrow be able to reach the target if the horse is not running? If not, what is the minimum speed
of the horse running towards the target so that the arrow could reach it. You may assume the
target is at the same height as the arrow when it

Explanation / Answer

Let the arrow be released at angle ? max range occurs when is max , i.e ==> ? = 60* (approx) ==> max range = 519.84 m Hence, the range cant be reached, Now we can take d = 1500 m and solve for ? and velocity of honce, as v = 100+velocity of horse For simplifying calculations, we assume v = 100+velocity of horse = is very high ==> ? (approx.) = 45* ==> V = 122.5 ==> velocity of horse is some value slightly below 22.5 m/sec

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