A man can throw a ball to a maximum height of h. He can throw the same ball to the maximum horizontal distance of _____?
Answer: 2h
Explanation
When a man throws a ball to the maximum height (h), the initial velocity (v₀) is entirely vertical.
The maximum height (h) is given by:
h = v₀² / (2g)
where g is the acceleration due to gravity.
Now, when the man throws the same ball to the maximum horizontal distance, the initial velocity (v₀) is entirely horizontal.
The maximum horizontal distance (R) is given by:
R = v₀² / g
Substituting the expression for v₀² from the first equation:
R = 2h
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