At the moment a car is passed by another car constantly traveling at , it begins to accelerate at . In how many seconds does this car catch up to and pass the other car?

An object is moving on a line and has displacement equation of , where is in seconds. At what value of is the object not accelerating?

An object moving along a line has a displacement equation of , where is in seconds. For what value of is the object stationary?

A projectile is launched out of a cannon or launch tube with zero air resistance or friction. At what angle (in degrees) should the projectile be launched to maximize the distance it travels?

An object starts from rest and reaches a velocity of after accelerating at a constant rate for four seconds. What is the distance traveled in this time?