Question

Help please...........................​

Answer 1

Answer:

18 m, 7.9 m

Explanation:

In the y direction:

y = y₀ + v₀ᵧ t + ½ aᵧ t²

0 = 0 + (v₀ sin 45°) t + ½ (-g) t²

0 = t (v₀ sin 45° - ½ g t)

t = 0, t = 2v₀ sin 45° / g

In the x direction:

x = x₀ + v₀ t + ½ at²

x = 0 + (v₀ cos 45°) t + ½ (0) t²

x = v₀ cos 45° t

Substituting for t:

x = v₀ cos 45° (2v₀ sin 45° / g)

x = v₀² / g

When g = 9.80 m/s², x = 3.0 m:

3.0 = v₀² / 9.80

v₀² = 29.4

On the moon, when g = 9.80/6:

x = 29.4 / (9.80 / 6)

x = 18 m

As you can see, x is inversely proportional to g, so 1/6 the gravity means 6 times the distance.  So on Mars:

x = 3 / 0.38

x = 7.9 m