Final answer:
The frog will land approximately 9.735 meters away from the base of the rock.
Step-by-step explanation:
The horizontal distance the frog will travel can be calculated using the formula:
Horizontal Distance = Initial Velocity * Time
In this case, the initial velocity of the frog is 5.5 m/s and the time can be calculated using the formula:
Time = sqrt(2 * Height / g)
where Height is the height of the rock and g is the acceleration due to gravity (approximately 9.8 m/s^2).
Substituting the values, we have:
Time = sqrt(2 * 15 / 9.8) ≈ 1.77 seconds
Now, substituting the values of initial velocity and time in the horizontal distance formula:
Horizontal Distance = 5.5 * 1.77 ≈ 9.735 meters
Therefore, the frog will land approximately 9.735 meters away from the base of the rock.