severity of a fall depends on your speed when you strike the ground. All factors but the acceleration due to gravity being the same, how many times higher could a safe fall on the Moon be than on Earth (gravitational acceleration on the Moon is about 1/6 that of the Earth)?

Step-by-step solution Step 1 of 4 The equation for the vertical displacement of an object in free fall is, Here is the vertical displacement of an object, is initial velocity of the object, is final velocity of the object. Step 2 of 4 Therefore, if all the factors remain same for earth and moon except gravity then the vertical displacement or height of an object depends on gravity. Let, height for safe fall on the earth is and height for safe fall on the moon is . Therefore, Also, Here is the value of acceleration due to gravity on the Earth and is the value of acceleration due to gravity on the moon. Comment