An astronaut on the moon throws a wrench straight up at a velocity of 4 m/s. Three seconds later it is seen traveling downwards at a velocity of 0.8 m/s.
a) what is the acceleration due to gravity on the moon?
b) why is this value smaller than gravity on Earth?
c) What was the maximum height of the wrench above the ground?
d) How long did it take the wrench to land back in the astronaut's hand
If gravity on the moon is g, then
v(t) = v0 - gt, so we have
4 - 3g = -0.8
g = 1.6 m/s^2
moon has less mass
h = v^2/2g = 4^2/3.2 = 5 m
4t - 0.8 t^2 = 0
t = 5