Question

a soccer ball is kicked horizontally off a 13.4 m high hill at 13.3 m/s. how far does it travel horizontally before it hits the ground?
15.6 m
18.18 m
13.5 m
22.0 m

Explanation:

Step1: Calculate the time of flight

Use the vertical motion equation \( y = v_{0y}t+\frac{1}{2}gt^{2} \). Since \( v_{0y} = 0\) (kicked horizontally), \( y = 13.4\space m\), and \( g= 9.8\space m/s^{2}\).

$$
LATEXBLOCK0
$$

Step2: Calculate the horizontal distance

Use the horizontal motion equation \( x = v_{0x}t\). Here \( v_{0x}=13.3\space m/s\) and \( t = 1.65\space s\)

$$ x=13.3\times1.65 = 21.945\approx22.0\space m $$

Answer:

22.0 m