How far will the motorcycle travel before it comes to a complete stop if it starts at a speed of 8.3 m/s and has an acceleration of 3.1 m/s²?

To determine how far the motorcycle will travel before coming to a complete stop, we can use the kinematic equation that relates initial velocity, final velocity, acceleration, and distance traveled. The relevant equation is:

[

v^2 = u^2 + 2as

]

Where:

• ( v ) is the final velocity (0 m/s when the motorcycle stops),

• ( u ) is the initial velocity (8.3 m/s),

• ( a ) is the acceleration (which will be negative since it is deceleration, here -3.1 m/s²),

• ( s ) is the distance traveled.

Rearranging the equation to solve for distance (( s )), we get:

[

s = \frac{v^2 - u^2}{2a}

]

Substituting the values into the equation:

1. The final velocity ( v = 0 , \text{m/s} ).

2. The initial velocity ( u = 8.3 , \text{m/s} ).

3. The acceleration ( a = -3.1 , \text{m/s}^2 ) (deceleration is treated as negative