The velocity of a freely falling body changes as (g^p)*(h^q) where g is the acceleration due to gravity and h is the height. The values of p and q are:
Correct answer: A. p = 1/2, q = 1/2
- A. p = 1/2, q = 1/2
- B. p = 1/2, q = 1
- C. p = 1, q = 1/2
- D. p = 1, q = 1
Explanation
The velocity of a freely falling object can be derived from the kinematic equation: v = sqrt(2gh), where v is velocity, g is acceleration due to gravity, and h is height. This can be expressed as v = (g^1/2)*(h^1/2), indicating that p and q are both 1/2. Therefore, Option A is correct. Other options do not correctly represent the relationship between velocity, gravity, and height in free fall.
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