An astronaut on a strange planet can jump a maximum horizontal distance of 15m if his initial

Question

speed is 3m/s. What is the free fall acceleration on the planet?

Answer 1

To calculate the free fall acceleration on the planet, we can use the following kinematic equation:

d = v_i^2 / (2 * a)

Where:
d = horizontal distance jumped = 15m
v_i = initial speed = 3m/s
a = acceleration

Plugging in the values, we get:

15 = 3^2 / (2 * a)
15 = 9 / (2 * a)
15 = 4.5 / a
a = 4.5 / 15
a = 0.3 m/s^2

Therefore, the free fall acceleration on the planet is 0.3 m/s^2.