Question

question 11.
a researcher is studying the movement of a vehicle along a straight path. during a 4 - hour period, the vehicle travels the following distances: 60 km in the first hour, 80 km in the second hour, 40 km in the third hour, and 20 km in the fourth hour.
what is the average speed of the vehicle for the entire 4 - hour period?
use the formula below to calculate average speed.
$\text{average speed} = \frac{\text{total distance}}{\text{total time}}$
a. $\circ$ 50 km/h
b. $\circ$ 60 km/h

Explanation:

Step1: Calculate Total Distance

First, we need to find the total distance traveled. The distances for each hour are 60 km, 80 km, 40 km, and 20 km. So we sum them up: $60 + 80 + 40 + 20$.
Calculating that: $60 + 80 = 140$, $140 + 40 = 180$, $180 + 20 = 200$. So total distance is 200 km.

Step2: Calculate Average Speed

The total time is 4 hours (since it's a 4 - hour period). Using the formula $Average\ Speed=\frac{Total\ Distance}{Total\ Time}$, we substitute total distance = 200 km and total time = 4 hours.
So $Average\ Speed=\frac{200}{4}=50$ km/h.

Answer:

A. 50 km/h