Observing a spacecraft land on a distant asteroid, scientists notice that the craft is falling at a rate of 5 m/s. when it is 100 m closer to the surface of the asteroid, the craft reports a velocity of 8 m/s. according to their data, what is the approximate gravitational acceleration on this asteroid?

a. 0 m/s2
b. 0.03 m/s2
c. 0.20 m/s2
d. 0.65 m/s2
e. 33 m/s2

(c) 0.20 m/s²

Explanation:

Using The equation of motion,

V² = u² + 2gs equation 1

Where V = final velocity, u = initial velocity, g = gravitational acceleration,

s = distance.

Making g the subject of the equation in equation 1 above,

g =( V² - u²)/2s equation 2

Where V= 8 m/s, u = 5 m/s, s= 100 m.

g = (8²-5²)/(2×100)

g = (64-25)/200

g = 39/200

g =0.195 m/s²

g ≈ 0.20 m/s².

The gravitational acceleration = 0.20 m/s²

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