Question

Olivia kicks a soccer ball from the ground with an initial vertical velocity of 15 m/s. Which equation can be used to find the time, t, it takes for the ball to reach the ground?

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Motion shows the change in the position of an object over time. This change is showed in terms of displacement, distance, velocity, acceleration, time and speed. The equations of motion shows this relationship.

Since the soccer ball is kicked up with an initial velocity (u) of 15 m/s, the acceleration due to gravity (g) acts on the ball. If the ball is kicked at an angle Θ, the time t it takes for the ball to reach the ground is:

$t=\frac{2u*sin(\theta)}{g} \\\\t=\frac{2(15)*sin(\theta)}{g} \\\\t=\frac{30*sin(\theta)}{g} \\\\If\ it\ is\ kicked\ vertical\ then\ \theta=90^0,hence:\\\\t=\frac{30*sin(90)}{g}= \frac{30}{g }$