Final answer:
The soccer ball will strike the ground approximately 2.01 seconds after being kicked with a horizontal speed of 10 m/s from the edge of the roof of a building 20 m high.
Step-by-step explanation:
To find when the soccer ball will strike the ground, we can use the equations of motion for objects in free fall. Since the ball is kicked horizontally, its initial vertical velocity is 0 m/s.
The only force acting on the ball in the vertical direction is gravity, which causes it to accelerate downwards at a rate of 9.8 m/s². We can use the equation:
h = ut + 0.5at²
where h is the height of the building, u is the initial vertical velocity (0 m/s), a is the acceleration due to gravity (-9.8 m/s²), and t is the time.
Rearranging the equation to solve for t:
t = √(2h / g)
Substituting the given values:
t = √(2 * 20 / 9.8)
= √(40/9.8)
≈ 2.01 seconds
Therefore, the soccer ball will strike the ground approximately 2.01 seconds after being kicked.
Your question is incomplete but most probably your full question was
Lisa kicks a soccer ball with a horizontal speed of 10 m/s from the edge of the roof of a building 20 m high. When will the soccer ball strike the ground?