An engineer is working on the redesign of the hilly position of the city. An important consideration is how steep the roads can be so that a fully loaded small car of total mass 1200kg can get up the hills without slowing down. This fully loaded car can accelerate on the horizontal road from rest to 14 m/s in 8s.  a. What is its acceleration on the horizontal road b. What maximum force can this car exert on itself c. The car uses this maximum force to clim the hill. What must be the steepness (angle of inclination) of the hill?

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An engineer is working on the redesign of the hilly position of the city. An important consideration is how steep the roads can be so that a fully loaded small car of total mass 1200kg can get up the hills without slowing down. This fully loaded car can accelerate on the horizontal road from rest to 14 m/s in 8s. 

a. What is its acceleration on the horizontal road

b. What maximum force can this car exert on itself

c. The car uses this maximum force to clim the hill. What must be the steepness (angle of inclination) of the hill?

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