Home > PC3 > Chapter 13 > Lesson 13.1.4 > Problem13-52

13-52.

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.

Draw a sketch of the situation. From the sketch, determine the:
1. amplitude
2. vertical shift
3. horizontal shift (use a negative cosine function)
4. period and $b$