Ahuman expedition lands on an exoplanet. one of the explorers is able to jump a maximum distance of 19.5 m with an initial speed of 2.80 m/s. find the gravitational acceleration on the surface of the exoplanet. assume the planet has a negligible atmosphere.

Acceleration,

Explanation:

It is given that,

Initial speed of the explorers, u = 2.8 m/s

Finally it lands, v = 0

Maximum distance, x = 19.5 m

We need to find the gravitational acceleration on the surface of the exoplanet. Let a is the acceleration. It can be calculated using third equation of motion as :

So, the gravitational acceleration on the surface of the exoplanet is . Minus sign shows that the acceleration is acting in downward direction. Hence, this is the required solution.