An astronaut holds a rock 100 m above surface of Planet X. The rock is then thrown upwards with a sleek of 15m/s. The rock reaches the ground 10s after it is thrown the atmosphere of Planet X has a negligible effect on the rock. Determined the acceleration due to gravity of the rock when it is in planet x

Explanation:

This problem is related to vertical motion, and the equation that models it is:

(1)

Where:

is the rock's final height

is the rock's initial height

is the rock's initial velocity

is the angle at which the rock was thrown (directly upwards)

is the time

is the acceleration due gravity in Planet X

Isolating and taking into account :

(2)

(3)

(4) This is the acceleration due gravity in Planet X

what was the acceleration of the 2 kg cart?

⇒ 16.0 cm/s2

what was the acceleration of the 4 kg cart?

⇒ 8.1 cm/s2

what was the acceleration of the 6 kg cart?

⇒ 5.3 cm/s2