Physics

To find the total distance traveled by the cyclist, we need to calculate the distance covered during both phases: while traveling at a constant speed and during deceleration.

 

Phase 1: Constant Speed

The cyclist travels at 12 m/s for 10 seconds. The distance () can be calculated using the formula:

 

Where:

v = 12 m/s

t = 10s

 

 

Phase 2: Deceleration

First, we need to find the acceleration (a). Since the final velocity , we can use:

 

The cyclist decelerates uniformly from 12 m/s to 0 m/s over 5 seconds. We can use the formula for distance under uniform acceleration (or deceleration):

 

Click "Show Answer" to reveal the answer and analysis