Final answer:
The range of the projectile is 30 meters.
Step-by-step explanation:
The range of a projectile is the horizontal distance it travels before hitting the ground. In this case, the ball is thrown horizontally with a velocity of 15m/s and from a height of 2 meters. Since there is no vertical component to the initial velocity, the ball will only be affected by the acceleration due to gravity in the vertical direction. The range of the projectile can be calculated using the formula:
Range = (initial horizontal velocity) x (time of flight)
Since there is no acceleration in the horizontal direction, the initial horizontal velocity remains constant throughout the entire flight of the ball. We can calculate the time of flight using the formula:
Time of flight = (2 x initial vertical velocity) / (acceleration due to gravity)
Substituting the given values into the equations, we get:
Range = (15m/s) x (2s) = 30 meters