Question

rock a is thrown horizontally off of a cliff with a velocity of 20 m/s. the rock lands 60 m from the base of the cliff. according to the above information and diagram, how long will rock a be in the air? 3.0 s 1200 s 3.5 s 10.5 s

Explanation:

Step1: Analyze horizontal motion

In horizontal - direction, there is no acceleration ($a_x = 0$), and the horizontal velocity $v_x$ is constant. The formula for horizontal displacement is $x=v_x t$.
We know that $x = 60m$ and $v_x=20m/s$.

Step2: Solve for time

From $x = v_x t$, we can express $t$ as $t=\frac{x}{v_x}$.
Substitute $x = 60m$ and $v_x = 20m/s$ into the formula: $t=\frac{60}{20}=3s$.

Answer:

3.0 s