Final answer:
The speed of the pebble after falling for 3.4 seconds is approximately 33.32 m/s.
Step-by-step explanation:
To calculate the speed of the pebble falling after 3.4 seconds, we can use the equation for free fall motion. The equation is given by: v = g * t, where v is the final velocity, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time in seconds. Plugging in the values, we get: v = 9.8 * 3.4 = 33.32 m/s. Therefore, the pebble is traveling at a speed of approximately 33.32 m/s after falling for 3.4 seconds.