a cyclist at a rate of 7.0 ms2. how long will it take the cyclist to reach a speed of 18m/s
To find the time it will take for the cyclist to reach a speed of 18 m/s, we can use the equation:
Final velocity = Initial velocity + (acceleration x time)
Here, the initial velocity is 0 m/s (assuming the cyclist starts from rest) and the acceleration is 7.0 m/s². The final velocity is 18 m/s.
So, we have:
18 m/s = 0 m/s + (7.0 m/s² x time)
Rearranging the equation to solve for time:
18 m/s - 0 m/s = 7.0 m/s² x time
18 m/s = 7.0 m/s² x time
time = 18 m/s / 7.0 m/s²
Calculating this expression:
time = 2.57 seconds
Therefore, it will take the cyclist approximately 2.57 seconds to reach a speed of 18 m/s.