Question

1. how long would it take jesse with an acceleration of -2.50 m/s² to bring his bicycle with an initial velocity of 13.5 m/s to a complete stop?

Explanation:

Step1: List known values

Initial velocity $v_i = 13.5\ \text{m/s}$, final velocity $v_f = 0\ \text{m/s}$ (full stop), acceleration $a = -2.50\ \text{m/s}^2$

Step2: Use kinematic formula

Choose $v_f = v_i + at$, solve for $t$:
$$t = \frac{v_f - v_i}{a}$$

Step3: Substitute values into formula

$$t = \frac{0 - 13.5}{-2.50}$$

Step4: Calculate the result

$$t = \frac{-13.5}{-2.50} = 5.4\ \text{s}$$

Answer:

$5.4$ seconds