Calculate the rate at which the car slows down from 66 mph to 24 mph in 16 seconds. The change in speed is 24 \text{ mph} - 66 \text{ mph} = -42 \text{ mph}24 mph−66 mph=−42 mph. The change in time is 16 seconds. Therefore, the rate of change is \frac{-42 \text{ mph}}{16 \text{ seconds}} = -2.625 \text{ mph/s}16 seconds−42 mph​=−2.625 mph/s

Question

Identify the interval of time during which the automobile experiences the greatest change in its speed. The greatest change in speed occurs from 24 mph to 28 mph in the interval from 24 seconds to 28 seconds. The change in speed during this interval is 28 \text{ mph} - 24 \text{ mph} = 4 \text{ mph}28 mph−24 mph=4 mph
Determine the interval of time during which the automobile's speed remains constant. The speed remains constant from 6 seconds to 16 seconds at 25 mph
The answers are:
The rate at which the car slows down is -2.5 \text{ mph/s}−2.5 mph/s (rounded to one decimal place)
The automobile experiences the greatest change in speed during the interval from 24 seconds to 28 seconds, with a change of 40 mph
The automobile's speed remains constant from 6 seconds to 16 seconds at 25 mph
can you make this less advanced

Answer 1

Sure! Let's simplify everything:

1. How fast is the car slowing down?

   • The car goes from 66 mph to 24 mph.
   • The change in speed is: \( 24 \text{ mph} - 66 \text{ mph} = -42 \text{ mph} \).
   • This change happens over 16 seconds.
   • To find out how much it slows down every second, we divide: \[ \frac{-42 \text{ mph}}{16 \text{ seconds}} \approx -2.625 \text{ mph/s}. \]
   • So, the car slows down at a rate of about -2.6 mph/s (rounded to one decimal place).

2. When does the car speed up the most?

   • The car speeds up the most from 24 mph to 28 mph.
   • This change happens between 24 seconds and 28 seconds.
   • The change in speed is: \[ 28 \text{ mph} - 24 \text{ mph} = 4 \text{ mph}. \]
   • So, the biggest speed change happens from 24 seconds to 28 seconds, with an increase of 4 mph.

3. When is the car's speed constant?

   • The car goes at a steady speed of 25 mph from 6 seconds to 16 seconds.
   • So, during this time, the car doesn't change speed.

Putting it all together:

• The car slows down at about -2.6 mph/s.
• The biggest speed change happens from 24 seconds to 28 seconds, with a change of 4 mph.
• The speed is steady at 25 mph from 6 seconds to 16 seconds.

Answer 2

can you do it without all the symbols and slashes

Answer 3

Of course! Let's make it even simpler and avoid symbols:

1. How fast is the car slowing down?

   • The car starts at sixty-six miles per hour and slows down to twenty-four miles per hour.
   • The change in speed is twenty-four minus sixty-six, which gives negative forty-two miles per hour.
   • This change happens over sixteen seconds.
   • To find out the speed reduction per second, you divide negative forty-two by sixteen. This gives about negative two point six miles per hour for each second.
   • So, the car slows down at a rate of about two point six miles per hour per second.

2. When does the car speed up the most?

   • The car speeds up the most from twenty-four miles per hour to twenty-eight miles per hour.
   • This change happens between twenty-four seconds and twenty-eight seconds.
   • The change in speed here is twenty-eight minus twenty-four, which equals four miles per hour.
   • Therefore, the biggest speed change happens from twenty-four seconds to twenty-eight seconds, with an increase of four miles per hour.

3. When is the car's speed constant?

   • The car maintains a steady speed of twenty-five miles per hour from six seconds to sixteen seconds.
   • During this time, the car does not change speed at all.

In summary:

• The car slows down at about two point six miles per hour per second.
• The biggest speed change happens from twenty-four seconds to twenty-eight seconds, with an increase of four miles per hour.
• The car's speed is steady at twenty-five miles per hour from six seconds to sixteen seconds.