Question

16.An astronaut, visiting a newly discovered planet, finds the acceleration due to gravity by dropping an objectfrom a height of 1.0 meter and measuring how long it takes the object to hit the ground. If it takes the object0.8 seconds to hit the ground, what is the acceleration due to gravity on th

Answer 1

g = 3.125 m/s²

Step-by-step explanation:

To find the acceleration due to gravity we will use the second equation of motion:

`h = V_(i)t + (1)/(2)gt^(2)\\`

where,

h = height = 1 m

Vi = initial speed object = 0 m/s (object is initially at rest)

t = time taken = 0.8 s

g = acceleration due to gravity = ?

Therefore,

`1\ m = (0\ m/s)(0.8\ s)+(1)/(2)g(0.8\ s)^(2)\\\\(2\ m)/(0.64\ s^(2)) = g\\\\`

g = 3.125 m/s²