Physics Displacement

Question

Congratulations for being the first person to land on Saturn's largest moon, Titan. The acceleration due to gravity at the surface of Titan has a strength of 1.352 m/s². As you stand at the edge of one of its largest lakes of liquid methane, Kraken Mare, you pick up a piece of ice and throw it across the lake's surface. You throw it with a speed of 15.3 m/s at an angle of 18.9 degrees above the horizontal and from a height of 1.21 m. How far across the lake does the stone travel before splashing into it? Ignore any resistance by Titan's atmosphere.

Answer 1

You will need to use projectile motion equations here.

We know: g=1.352m/s^2, v_0=15.3m/s, theta=18.9 degrees, x_0 = 0m, y_0 = 1.21m.

Since the stone will be landing at y = 0, we can use the kinematic equation for each direction, giving us two equations and two unknowns.

Plug all values into the equation for y position, solve for t. Then we have all values we need to solve for the final x position.

Let me know if this helps.