Question

22 mark for review the speed of a vehicle is increasing at a rate of 7.3 meters per second squared. what is this rate, in miles per minute squared, rounded to the nearest tenth? (use 1 mile = 1,609 meters.) a 0.3 b 16.3 c 195.8 d 220.4

Explanation:

Step1: Convert meters to miles

We know that 1 mile = 1609 meters, so to convert meters to miles, we divide by 1609. The acceleration is 7.3 m/s², so in miles per second squared, it is $\frac{7.3}{1609}$ mi/s².

Step2: Convert seconds to minutes

There are 60 seconds in a minute, so to convert seconds squared to minutes squared, we multiply by $(60)^2$ because when converting units for squared time, we square the conversion factor. So we have $\frac{7.3}{1609} \times 60^2$ mi/min².

Step3: Calculate the value

First, calculate $60^2 = 3600$. Then, $\frac{7.3\times3600}{1609}=\frac{26280}{1609}\approx16.3$ (rounded to the nearest tenth).

Answer:

B. 16.3