Final answer:
To find the horizontal distance traveled by the marble before it lands, we can use the equation: distance = initial velocity × time.
Step-by-step explanation:
To find the horizontal distance traveled by the marble before it lands, we can use the equation:
distance = initial velocity × time
Since the marble is shot horizontally, its initial velocity in the horizontal direction is 2.5 m/s. To find the time it takes for the marble to land, we can use the equation:
time = square root of (2 × height / g)
where 'height' is the height of the table (0.8 m) and 'g' is the acceleration due to gravity (9.8 m/s²). Plugging in the values, we can find the time it takes for the marble to land. Finally, we can use the time to calculate the horizontal distance traveled by the marble.