A baseball is thrown horizontally from a height of 6 meters at a speed of 24 m/s. How far will it travel horizontally before it hits the ground?
how long does it take to fall 6 meters? 4.9t^2 = 6
Then, since its horizontal speed is constant, use that t value to find the distance = speed * time
ans: 26.6m
about that, yes
To find the horizontal distance the baseball will travel before hitting the ground, we can use the basic principles of projectile motion.
First, let's identify the known values:
- Initial vertical height (h) = 6 meters
- Initial horizontal velocity (v) = 24 m/s
- Acceleration due to gravity (g) = 9.8 m/s^2 (assuming no air resistance)
In projectile motion, the horizontal and vertical motion are independent of each other. Therefore, the time taken for the baseball to hit the ground can be calculated based on its vertical motion using the formula:
h = (1/2) * g * t^2
Solving for t (time), we get:
t = sqrt((2 * h) / g)
Substituting the values, we have:
t = sqrt((2 * 6) / 9.8)
t ≈ 0.782 seconds
Next, we can calculate the horizontal distance (d) using the formula:
d = v * t
Substituting the values, we have:
d = 24 m/s * 0.782 s
d ≈ 18.768 meters
Therefore, the baseball will travel approximately 18.768 meters horizontally before hitting the ground.