The catapult

used by the
marauders hurls a stone with a velocity of 50.0 m/s at a 30.0° angle of elevation as shown in the figure. Calculate the maximum height that the stone attains.
Initial imach height

41.1 m
43.3 m
25.0 m
31.9 m
0 m

1 answer

The maximum height that the stone attains can be calculated using the following formula:

Maximum height = (v^2 * sin^2θ) / 2g

Where:
v = initial velocity = 50.0 m/s
θ = angle of elevation = 30.0°
g = acceleration due to gravity = 9.81 m/s^2

Plugging in the values, we get:
Maximum height = (50^2 * sin^2(30)) / (2 * 9.81)
Maximum height = (2500 * 0.25) / 19.62
Maximum height = 625 / 19.62
Maximum height = 31.9 m

Therefore, the maximum height that the stone attains is 31.9 m. The correct answer is 31.9 m.