Question

1. a cyclist traveling at $v_0 = 14.0$ m/s brakes with a constant acceleration of $-3.50$ m/s² until coming to a stop. how long does it take to stop?

Explanation:

Step1: List known variables

Initial velocity $v_0 = 14.0\ \text{m/s}$, final velocity $v = 0\ \text{m/s}$, acceleration $a = -3.50\ \text{m/s}^2$

Step2: Select kinematic equation

Use $v = v_0 + at$

Step3: Rearrange for time $t$

$t = \frac{v - v_0}{a}$

Step4: Substitute values and calculate

$t = \frac{0 - 14.0}{-3.50} = 4.00\ \text{s}$

Answer:

$4.00$ seconds