Question

One way to measure g on another planet or moon by remote sensing is to measure how long it takes an object to fall a given distance. A lander vehicle on a distant planet records the fact that it takes 3.17 s for a ball to fall freely 11.26 m, starting from rest. What is the acceleration due to gravity on that planet?

Answer 1

2.24 m/s²

Step-by-step explanation:

Using equation of motion

s = ut +
`(1)/(2)`at²

u = 0 , t = 3.17 s , s = 11.26 m

Put these values in the equation above

11.26 = 0 +.5 x a( 3.17)²

a = 2.24 ms⁻².

So acceleration due to gravity on that planet will be 2.24 m s⁻².