Starting from rest, what is the shortest time this truck could accelerate uniformly to 38.0 m/s (≈ 85.0 mph ) without causing the box to slide. (hint: first use newton’s second law to find the maximum acceleration that static friction can give the box, and then solve for the time required to reach 38.0 m/s .)

Explanation:

As we know that the coefficient of static friction between box and the truck is given as

so the maximum static friction force on the box so that it will not slide on the truck is given as

so maximum possible acceleration of the box is given as

now time to reach the given speed is

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