Question

question 5 (3 points)
(02 02 mc)
a skier starts from rest and uniformly accelerates at 2 m/s² down a slope. how far has the skier traveled at the end of 20 seconds?
a 40 meters
b 80 meters
c 200 meters
d 400 meters

Explanation:

Step1: Identify the kinematic - equation

The kinematic equation for displacement with initial velocity $u = 0$ is $s=ut+\frac{1}{2}at^{2}$. Since $u = 0$ (starts from rest), the equation simplifies to $s=\frac{1}{2}at^{2}$.

Step2: Substitute the values

Given $a = 2\ m/s^{2}$ and $t = 20\ s$. Substitute these values into the equation $s=\frac{1}{2}\times2\times20^{2}$.

Step3: Calculate the displacement

First, calculate $20^{2}=400$. Then, $\frac{1}{2}\times2\times400 = 400$ meters.

Answer:

d. 400 meters