Question

A biker first accelerates from 0.0 m/s to 6.0 m/s in 6 s, then continues at this speed for 5 s. What is the total distance traveled by the biker?

100 m

80 m

30 m

48 m

PLZ heeeeelp ​

Answer 1

48m

Step-by-step 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;

`Acceleration (a) = (final \; velocity - initial \; velocity)/(time)`

Substituting into the equation;

`a = (6 - 0)/(6)`

`a = (6)/(6)`

Acceleration, a = 1m/s²

To find the distance covered in the first phase;

Solving for distance, we would use the second equation of motion;

`S = ut + \frac {1}{2}at^(2)`

Substituting the values into the equation;

`S = 0(6) + \frac {1}{2}*1*(6)^(2)`

`S = 0 + \frac {1}{2}*1*36`

`S = 0.5 *36`

Distance, S1 = 18m

For the second phase, time T2 = 5 secs;

Mathematically, speed is given by the equation;

`Speed = (distance)/(time)`

Making distance the subject of formula, we have;

`Distance, S = speed * time`

Substituting into the above equation;

`Distance, S = 6 * 5`

Distance, S2 = 30m

Total distance = S1 + S2 = 18m + 30m = 48m

Total distance = 48m

Therefore, the total distance traveled by the biker is 48m.