Final answer:
To calculate the diver's horizontal velocity, you can use the equation: horizontal velocity = horizontal displacement/time. In this case, the diver's horizontal velocity is 1.92 m/s.
Step-by-step explanation:
To calculate the diver's horizontal velocity, we can use the equation: horizontal velocity = horizontal displacement/time. In this case, the horizontal displacement is 2.63 meters and we need to find the time. We can use the equation time = sqrt(2h/g), where h is the height of the dive (9.4 meters) and g is the acceleration due to gravity (9.8 m/s²). Substituting the given values into the equation, we have time = sqrt(2 * 9.4 / 9.8) = 1.37 seconds. Now, we can calculate the horizontal velocity using the equation horizontal velocity = 2.63 meters / 1.37 seconds = 1.92 m/s. Therefore, the diver's horizontal velocity is 1.92 m/s.