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The maximum rate at which the truck can decelerate and avoid having the crate slide is 0.75 times theaccelerationdue to gravity or 7.35 m/s^2.To find the maximum rate of deceleration, we need to consider the forces acting on the crate. The maximum static friction force between the crate and the truck bed is given by the equation, where μ_static is the coefficient ofstatic frictionand N is the normal force. Since the crate is on a flat surface, the normal force is equal to the weight of the crate, which is given by the equation, where m is the mass of the crate and g is the acceleration due to gravity.Since the crate is not sliding, the maximum static friction force is equal to the force of deceleration acting on the crate. Therefore, we have, where a is the acceleration of the truck.Substituting the equations for the maximum static friction force and the normal force, we get μ_static * m * g = m * a. Simplifying, we find a = μ_static * g.Given that the coefficient of static friction is 0.75 and the acceleration due togravityis 9.8 m/s^2, we can calculate the maximum rate of deceleration as.Therefore, the maximum rate at which the truck can decelerate and avoid having the crate slide is 7.35 m/s^2.To know more about thegravity, visit:brainly.com/question/4783082#SPJ11...