Answer:
48m
Explanation:
Given the following data;
Initial velocity = 0m/s
Final velocity = 6m/s
Time, t = 6 secs
Time, T2 = 5 secs
Mathematically, acceleration is given by the equation;
[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]
Substituting into the equation;
[tex]a = \frac{6 - 0}{6}[/tex]
[tex]a = \frac{6}{6}[/tex]
Acceleration, a = 1m/s²
To find the distance covered in the first phase;
Solving for distance, we would use the second equation of motion;
[tex] S = ut + \frac {1}{2}at^{2}[/tex]
Substituting the values into the equation;
[tex] S = 0(6) + \frac {1}{2}*1*(6)^{2}[/tex]
[tex] S = 0 + \frac {1}{2}*1*36[/tex]
[tex] S = 0.5 *36[/tex]
Distance, S1 = 18m
For the second phase, time T2 = 5 secs;
Mathematically, speed is given by the equation;
[tex]Speed = \frac{distance}{time}[/tex]
Making distance the subject of formula, we have;
[tex]Distance, S = speed * time[/tex]
Substituting into the above equation;
[tex]Distance, S = 6 * 5[/tex]
Distance, S2 = 30m
Total distance = S1 + S2 = 18m + 30m = 48m
Total distance = 48m
Therefore, the total distance traveled by the biker is 48m.
