a box is stationary in the back of a truck. the truck deck is horizontal. the coefficient of static friction between box and surface on which it rests is 0.3. what maximum distance can the truck travel (starting from rest and moving horizontally with constant acceleration) in 4.0s without having the box slide? i can't figure this out for the life of me. pls help

Question

jamesj · Answer

What is the maximum frictional force on the box?  

Provided the acceleration of the truck is not too great, the frictional force on the box can give it the acceleration it needs to keep up with the truck and not to slip.

In other words, set that maximum frictional force equal to the force F = ma on the box and solve for acceleration a.

jamesj · Answer

Once you have that acceleration, a, you can find the distance the truck can cover in
t = 4.0 seconds.

anonymous · Answer

thanks