Final answer:
The object will travel approximately 1.33 meters.
Step-by-step explanation:
To calculate the horizontal distance traveled by an object launched at an angle, we can use the range formula. The range (δx) can be found using the equation:
δx = (vi2 * sin(2θ)) / g
where vi is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity.
Using the given values, we have:
δx = (3.5 m/s)2 * sin(2 * 35°) / 9.8 m/s2
Calculating this expression, we find that the object will travel approximately 1.33 meters (rounded to two decimal places).