Final answer:
In projectile motion, the initial speed of a projectile determines how far it will travel before hitting the target. Assuming a launch angle of 45 degrees, the initial speed should be approximately 19.61 m/s to hit a target 100 m away.
Step-by-step explanation:
In projectile motion, the initial speed of a projectile determines how far it will travel before hitting the target. To find the initial speed, we need to know the distance to the target and the launch angle. Since the angle is not provided in the question, we can't calculate the exact initial speed.
However, if we assume the launch angle is 45 degrees (since it is mentioned in another question), we can calculate the initial speed. In this case, the initial speed should be equal to the horizontal distance to the target divided by the time of flight. The distance to the target is 100 m, and the time of flight is given by the formula t = 2 * (v * sin(theta)) / g, where v is the initial speed, theta is the launch angle in radians, and g is the acceleration due to gravity. Plugging in the values, we get:
t = 2 * (v * sin(45)) / g
3.00 = 2 * (v * sin(45)) / 9.8
v = (3.00 * 9.8) / (2 * sin(45))
v ≈ 19.61 m/s
Therefore, if the projectile is launched at an angle of 45 degrees above the horizontal, the initial speed should be approximately 19.61 m/s to hit a target 100 m away.