Question

An arrow is shot horizontally at a speed of 40m/s from a bow held 3.0 meters above the ground it misses the target and hits the ground.

A)How much time does it take for the arrow to hit the ground
B) how far horizontally does the arrow travel before hitting the ground?

Answer 1

(a) With g = 9.80 m/s² as the magnitude of the acceleration due to gravity, the arrow will the ground at time t for

0 = 3.0 m - 1/2 g t²

Solve for t :

t² = (6.0 m) / g

t ≈ 0.78 s

(b) The arrow travels a horizontal distance x at time t according to

x = (40 m/s) t

so that when it hits the ground, it does so

x = (40 m/s) (0.78 s) ≈ 31 m

away from where it was shot.