To determine the maximum height attained by the object, we can use the kinematic equation for vertical motion:
v_f^2 = v_i^2 + 2ad
Where: v_f = final velocity (0 m/s at the maximum height) v_i = initial velocity (30 m/s) a = acceleration (acceleration due to gravity, which is approximately -9.8 m/s^2) d = vertical displacement or height
We rearrange the equation to solve for d:
d = (v_f^2 - v_i^2) / (2a)
Plugging in the known values:
v_f = 0 m/s v_i = 30 m/s a = -9.8 m/s^2
d = (0^2 - 30^2) / (2 * -9.8) d = (-900) / (-19.6) d ≈ 45.92 m
Therefore, the maximum height attained by the object is approximately 45.92 meters.