Josh is taking a leisurely ride on his bike. At $t = 2.3$ seconds the pedal on his bike is closest to the ground at height of $8$ inches. The pedal reaches its highest point of $22$ inches $0.7$ seconds later. Write an equation to model the height of the pedal over time. Determine all the times that the pedal is exactly $1$ ft off the ground in the first $5$ seconds of Josh’s ride.