Answer:
5.1 m
Step-by-step explanation:
Assuming gravitational force is 9.8 m/s², the acceleration experience by the ball is -9.8 m/s²
The acceleration is negative because the ball is moving vertically upward and gravitational force acts vertically downward.
The velocity of the ball at maximum height is 0 m/s when it will start falling back to ground at a positive acceleration of 9.8 m/s²
We can use the following formula to calculate the height the ball reaches
v² = u² + 2 a d
where u is the initial velocity, v = final velocity, a = acceleration and d = displacement(in this case the vertical height from ground)
Final velocity is 0 since the ball has reached it maximum height and starts falling downward, Initial velocity u = 10 m/s
Plugging in values we get
0² = 10² - 2 x 9.8 x d
0 = 100 - 19.6d
Subtracting 100 from both sides
-100 = -4.9 d
Divide by -1 both sides
100 = 4.9d
d = 100/4.9 ≈ 5.1 m
So the ball will reach a height of 5.1m