Question

1. a skier skis down a hill at a speed of 13 m/s. she accelerates to a speed of 14.5 m/s in 1.5 seconds. what is her average acceleration during this time?

1.0 m/s²
1.5 m/s²
9.7 m/s²
8.7 m/s²

Explanation:

Step1: Identify acceleration formula

The formula for average acceleration is $a=\frac{v - u}{t}$, where $v$ is final - velocity, $u$ is initial - velocity, and $t$ is time.

Step2: Substitute values

Given $u = 13\ m/s$, $v = 14.5\ m/s$, and $t = 1.5\ s$. Then $a=\frac{14.5 - 13}{1.5}$.

Step3: Calculate the numerator

$14.5−13 = 1.5$. So $a=\frac{1.5}{1.5}$.

Step4: Calculate the acceleration

$\frac{1.5}{1.5}=1\ m/s^{2}$.

Answer:

$1.0\ m/s^{2}$