Question

a bike racer follows a circular indoor track racing at constant speed in what direction is their acceleration and why
In the direction of motion accelerating their speed
counter to the direction of motion keeping her speed constant
inward to the center of the track the direction of the force needed to keep her on this path
outward the direction she would go if not constrained by the track

Answer 1

The direction of acceleration for a bike racer following a circular indoor track at constant speed is inward towards the center of the track. This is because in order to stay on a curved path, an object needs to experience a centripetal acceleration towards the center of the curve. The centripetal acceleration is required to counterbalance the inward centripetal force that is responsible for keeping the rider on the circular track.