Final answer:
The displacement of an accelerating object, like a toy drone with an initial velocity of 5.0 m/s and an acceleration of 3.0 m/s² after 4.0 seconds, can be calculated using the kinematic equation d = v_i t + (1/2)at². In this case, the answer should be 44.0 meters, but since the closest provided option is 41.0 meters, there might be a typo in the question.
The correct answer is option 3
Step-by-step explanation:
The question deals with the displacement of an accelerating object. To find the distance traveled by the toy drone after 4.0 seconds, you need to use the kinematic equation for displacement with constant acceleration: d = v_i t + (1/2)at^2, where d is the displacement, v_i is the initial velocity, a is the acceleration, and t is time.
Given that the initial velocity is 5.0 m/s, the acceleration is 3.0 m/s2, and the time is 4.0 seconds, we can plug these values into the equation:
d = (5.0 m/s)(4.0 s) + (1/2)(3.0 m/s2)(4.0 s)2
d = 20.0 m + (1/2)(3.0 m/s2)(16.0 s2)
d = 20.0 m + (1.5 m/s2)(16.0 s2)
d = 20.0 m + 24.0 m
d = 44.0 m
However, since the available options do not include 44.0 meters, it's possible that there was a typo in the provided options or in our computation. Based on the provided options, the closest (but not exact) answer to the computed displacement is option 3, 41.0 meters.
The correct answer is option 3