Question

An archer shoots an arrow horizontally at a target with a speed of 52 m/s. The arrow drops 12 cm before hitting the target. What is the distance between the archer and the target

Answer 1

So what is the only force acting on the arrow after it is shot?

Answer 2

Gravity is the only force acting on it. Hence what is the only direction in which the arrow can accelerate after being shot?

Answer 3

In what direction does gravity act on the arrow? Horizontally, vertically?

Answer 4

vertically but how do i account for the drop of 12 cm?

Answer 5

vertically down, yes, with acceleration g. In time t, the arrow falls a distance of
\[ y = \frac{1}{2}gt^2 \] and you are told that is 0.12 m. So you can solve for t.

Now use that t to find how far the arrow has travelled.

Answer 6

So, time would be 0.156 s and distance would be like 8 meters?