Question

question 9 (4 points)
(01.07 mc)
the position of a driver each hour is shown on the graph below.
what is the cars average speed from the beginning of the trip until time t = 0.5 hour?
a 10 miles/hour
b 20 miles/hour
c 30 miles/hour
d 40 miles/hour

Explanation:

Step1: Identify initial and final values

Initial position at \(t = 0\) is \(0\) miles, final position at \(t=0.5\) hour is \(10\) miles.

Step2: Use average - speed formula

The formula for average speed \(v=\frac{\Delta x}{\Delta t}\), where \(\Delta x\) is the change in position and \(\Delta t\) is the change in time. Here, \(\Delta x=10 - 0=10\) miles and \(\Delta t = 0.5-0 = 0.5\) hour. So \(v=\frac{10}{0.5}=20\) miles/hour.

Answer:

B. 20 miles/hour