Question

practice: calculate the following using the formula for acceleration: a= v - v,/t 1. an airplane starts at rest and accelerates down the runway for 20s. at the end of the runway, its velocity is 80m/s north. what is its acceleration?

Explanation:

Step1: Identify given values

Initial velocity $v_i = 0\ \text{m/s}$ (starts at rest), final velocity $v_f = 80\ \text{m/s}$ north, time $t = 20\ \text{s}$

Step2: Apply acceleration formula

Substitute values into $a = \frac{v_f - v_i}{t}$
$\displaystyle a = \frac{80\ \text{m/s} - 0\ \text{m/s}}{20\ \text{s}}$

Step3: Calculate acceleration

Simplify the expression
$\displaystyle a = \frac{80}{20}\ \text{m/s}^2 = 4\ \text{m/s}^2$

Answer:

$4\ \text{m/s}^2$ north