Final answer:
To find the velocity of the bullet, we can use the concept of projectile motion. The bullet strikes 10 cm below the center of the target, so we can treat the vertical motion as free fall. By calculating the time of flight and using the horizontal displacement, we can determine the velocity of the bullet to be approximately 100 m/s.
Step-by-step explanation:
To find the velocity of the bullet, we can use the concept of projectile motion. Since the bullet strikes 10 cm below the center of the target, we can treat the vertical motion as free fall. The equation for the vertical displacement is given by d = (1/2)gt^2, where d is the vertical displacement, g is the acceleration due to gravity, and t is the time of flight. In this case, the vertical displacement is 10 cm, which is equivalent to 0.1 m. Plugging in these values, we can solve for t.
Since the rifle is aimed horizontally, the horizontal velocity remains constant throughout the motion. The horizontal displacement is given by the equation d = v*t, where d is the horizontal displacement, v is the horizontal velocity, and t is the time of flight. In this case, the horizontal displacement is 100 m. We can solve this equation for v using the value of t we found.
Therefore, the velocity of the bullet is approximately 100 m/s.