Question

1. kaya is riding her dirt bike eastward on a dirt road. she spots a pothole ahead. kaya slows her car from 14.0 m/s to 5.5 m/s in 6.0 s. what is her acceleration?

Explanation:

Step1: Recall acceleration formula

Acceleration is the change in velocity over time:
$$a = \frac{v_f - v_i}{t}$$

Step2: Identify given values

Initial velocity $v_i = 14.0\ \text{m/s}$, final velocity $v_f = 5.5\ \text{m/s}$, time $t = 6.0\ \text{s}$

Step3: Substitute values into formula

$$a = \frac{5.5\ \text{m/s} - 14.0\ \text{m/s}}{6.0\ \text{s}}$$

Step4: Calculate the result

$$a = \frac{-8.5\ \text{m/s}}{6.0\ \text{s}} \approx -1.4\ \text{m/s}^2$$
The negative sign indicates deceleration (westward direction, opposite to initial eastward motion).

Answer:

$\approx -1.4\ \text{m/s}^2$ (or $1.4\ \text{m/s}^2$ westward)