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A martian jumps off a cliff and free falls 250 m in 11.6 seconds. Determine the acceleration due to gravity on Mars.

a) 1.63 m/s²
b) 8.92 m/s²
c) 21.55 m/s²
d) 3.96 m/s²

1 Answer

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Final answer:

To determine the acceleration due to gravity on Mars, we can use the equation for free fall: d = (1/2) * g * t^2. In this scenario, the acceleration due to gravity on Mars is approximately 3.96 m/s².

Step-by-step explanation:

To determine the acceleration due to gravity on Mars, we can use the equation for free fall:

d = (1/2) * g * t^2

Where d is the distance fallen, g is the acceleration due to gravity, and t is the time taken to fall.

In the given scenario, the distance fallen is 250 m and the time taken is 11.6 seconds. Plugging these values into the equation, we get:

250 = (1/2) * g * (11.6)^2

Solving for g, the acceleration due to gravity on Mars is approximately 3.96 m/s², which is option d.

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