Aperson can jump a horizontal distance of 1.57 m on the earth. the acceleration of gravity is 8.21 m/s 2 . how far could he jump on the moon, where the free-fall acceleration is 0.153g?

Horizontal distance that a person can jump on the ground is known as horizontal range.

Horizontal range can be calculated by the formula of projectile motion which is given as

here for the maximum possible range of jump we can say that he must have to jump at 45 degree

so that the value of the range will be maximum in above equation

now if we compare the jump of a person on two planets then as per the capability of the person then velocity of jump will remain same on two planets so we can say

here it is given that on Earth the acceleration is g = 8.21 m/s^2[/tex]

and on moon it is g' = 0.153g

now we have

So the person can jump a distance of 10.3 m on the Moon

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.

answerscientific theory;