Answer:
The acceleration due to gravity of the planet is approximately 15.083 m/s²
Explanation:
The given information are;
The mass of the golf ball = 45.93 gram
The time it takes the golf ball to hit the ground 0.44 seconds
The height, s, from which the golf ball is dropped = 146 cm = 1.46 m
The equation of motion for the golf ball can be expressed as follows;
s = u·t + 1/2·a·t²
Where;
s = 1.46 m
u = The initial velocity of the golf ball = 0 m/s
a = The acceleration due to gravity of the planet
t = The time it takes the golf ball to hit the ground = 0.44 seconds
By substituting, we have;
1.46 = 0 × 0.44 + 1/2 × a × 0.44²
a = 1.46/(1/2 × 0.44²) ≈ 15.083 m/s²
The acceleration due to gravity of the planet = a ≈ 15.083 m/s².
