Question

An arrow is shot horizontally at a speed of 40 m/s from a bow held 1.5 meters above the ground. This time the arrow hits a target that is 10 meters away. How much time does it take for the arrow to strike the target? How far below the center of the bulls-eye does the arrow strike the target?

A) Time = 0.64 s, Distance below center = 3.2 m
B) Time = 0.25 s, Distance below center = 1.25 m
C) Time = 0.64 s, Distance below center = 6.4 m
D) Time = 1.25 s, Distance below center = 2.5 m

Answer 1

The arrow takes 0.25 seconds to strike the target, and it strikes the target at the same height as the center of the bulls-eye.

Step-by-step explanation:

To calculate the time it takes for the arrow to strike the target, we can use the formula:

time = distance / velocity

Given that the arrow is shot horizontally with a speed of 40 m/s and the target is 10 meters away, we can plug in the values:

time = 10 m / 40 m/s = 0.25 seconds

To find how far below the center of the bulls-eye the arrow strikes the target, we can use the formula for vertical displacement:

displacement = 0.5 * acceleration * time^2

Since the arrow is not affected by vertical acceleration, the displacement will be zero. Therefore, the arrow strikes the target at the same height as the center of the bulls-eye.