Question

If the ball from the previous question had a horizontal speed of 20 meters per second, how far does it go before it hits the ground?

a) 300 meters
b) 400 meters
c) 500 meters
d) 600 meters

Answer 1

The ball would go approximately 48.96 meters before it hits the ground.

Step-by-step explanation:

To find how far the ball goes before hitting the ground, we need to determine the time it takes for the ball to hit the ground. We can do this by finding the time of flight using the vertical component of the ball's initial velocity. Since the ball is kicked horizontally, the horizontal speed does not affect the time of flight.

We can use the equation: time = (2 * initial vertical velocity) / gravity. With an initial vertical velocity of 12 m/s and gravity being 9.8 m/s2, we can substitute these values into the equation to get:

time = (2 * 12) / 9.8 = 24 / 9.8 = 2.448 s (approximately)

Now, we can use the horizontal speed of 20 m/s to find the distance the ball goes before hitting the ground. We can use the equation: distance = horizontal speed * time. Substituting the values, we get:

distance = 20 * 2.448 = 48.96 meters (approximately)