Final answer:
Layla's displacement after 46 seconds of jogging, with an average velocity of 2.4 m/s east, is 110.4 m east.
Step-by-step explanation:
When solving for displacement, we can use the formula:
Displacement = Average Velocity × Time
In this question, Layla's average velocity is 2.4 m/s east and the time interval is 46 seconds. Plugging these values into the formula, we get:
Displacement = 2.4 m/s x 46 s = 110.4 m east
Therefore, Layla's displacement after 46 seconds is 110.4 m east.