Final answer:
The maximum acceleration that the truck can have before the box slides depends on the static friction between the box and the surface it rests on. To calculate the maximum distance the truck can travel in 3.0 s without having the box slide, we need to use the equation of motion.
Step-by-step explanation:
In order to answer this question, we need to consider the forces acting on the box. The maximum acceleration that the truck can have before the box slides is equal to the maximum static friction force between the box and the surface it rests on. The formula for static friction is:
Frictional force = coefficient of static friction × normal force
where the normal force is equal to the weight of the box (mass × acceleration due to gravity). To find the maximum distance the truck can travel in 3.0 s without having the box slide, we need to use the equation of motion:
Distance = initial velocity × time + 0.5 × acceleration × time^2
Using the given information, we can calculate the maximum acceleration and the maximum distance.