Question

question 4 (3 points) (01.10 mc) a car travels at a constant rate for 100 miles going due west for one hour. then it travels at a constant rate for another 75 miles west for one hour. what is the instantaneous velocity at any time during the first hour of the trip?
○ a 92 mph west
○ b 75 mph west
○ c 137 mph west
○ d 100 mph west

Explanation:

Step1: Recall velocity formula

Velocity is defined as $\frac{\text{distance}}{\text{time}}$. For constant - rate motion, instantaneous velocity equals average velocity.

Step2: Calculate velocity in first hour

In the first hour, the car travels a distance of $d = 100$ miles and the time taken $t=1$ hour. Using the formula $v=\frac{d}{t}$, we substitute $d = 100$ miles and $t = 1$ hour. So $v=\frac{100\ \text{miles}}{1\ \text{hour}}=100\ \text{mph}$. And the direction is west.

Answer:

d. 100 mph west