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Answer :
Final answer:
The ball reaches a height of 122.5 meters.
Explanation:
To find the height reached by the ball, we can use the equation:
Final velocity squared = Initial velocity squared + 2 * acceleration * displacement
Since the ball is thrown straight up, its final velocity at the highest point is 0 m/s. The acceleration due to gravity is -9.8 m/s^2 (negative because it acts in the opposite direction to the initial velocity).
Substituting the given values into the equation:
0 = (49 m/s)^2 + 2 * (-9.8 m/s^2) * displacement
Simplifying the equation:
0 = 2401 m^2/s^2 - 19.6 m/s^2 * displacement
Now, let's solve for the displacement:
19.6 m/s^2 * displacement = 2401 m^2/s^2
displacement = 2401 m^2/s^2 / 19.6 m/s^2
displacement = 122.5 m
Therefore, the ball reaches a height of 122.5 meters.
Learn more about projectile motion here:
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