Calculate the maximum lift for an arrow fired vertically upward from a bow. The initial speed of the arrow

Calculate the maximum lift for an arrow fired vertically upward from a bow. The initial speed of the arrow is 40 m / s. Disregard air resistance.

The maximum height to which the boom will rise is calculated by the formula:

S = (V² – V0²) / 2a, where V is the final speed of the boom (at the maximum height V = 0 m / s), V0 is the initial speed of the boom (V0 = 40 m / s), and is the acceleration of the boom (a = – g, g – acceleration of gravity (we take g = 10 m / s²)).

Let’s calculate the maximum lifting height of the boom:

S = (V² – V0²) / 2a = -V0² / (-2g) = 402 / (2 * 10) = 1600/20 = 80 m.

Answer: The arrow will rise to a height of 80 m.