A novice bike rider decides to ride down a huge hill. Starting from rest, the biker allows the bike to accelerate at 2.4m/s^2 for the first 9 s Getting nervous, the biker gently applies the brakes so the bike moves with constant speed for 6 s. As the bottom the hill approaches, the biker fully applies the brakes, locking the tire and leaving a 3 m black streak on the road before the bike stops.

x $=$x$0+$ v$0$t $+1/2$at$^2$

v$=$ v$0+$ at

 

 v$^2=$ v$0^2+2$aΔx 

 

1) Create a sketch that captures the entire motion of the biker along with all important information from the text above.

2) How far does the biker travel before applying the breaks?

3) How fast is the bike travelling when the brakes are first applied?

4) How far does the bike travel while travelling at constant speed?

5) What is the acceleration of the bike while the brakes are locked?

6) How far did the cyclist travel?

7) Use the graph below to plot the distance the bike has travelled as a function of time.

Incorporate your answers above into the graph as appropriate.

8) Use the graph below to plot the velocity of the bike as a function of time. Incorporate your answers above into the graph as appropriate.

9) Explain how acceleration is represented in each graph above.