Answer:
(a) 2.065 km
(b) 14.52 seconds
Explanation:
We know that the speed of the car is:
[tex]62.0\ \frac{km}{h}[/tex]
This means that in one hour the car travels 62 km.
To know the distance it travels in two minutes then we write 2 minutes in units of hours.
1 hour = 60 minutes.
So
[tex]2\ minutes*\frac{1\ hour}{60\ minutes}=0.0333\ hour[/tex]
Now multiply 0.0333 hours by speed:
[tex]0.0333\ h\ *62.0\ \frac{km}{h}=2.065\ km[/tex]
(a) How far (in kilometers) will the car move in 2.00 minutes at this speed?
Now we calculate how long it will take the car to travel 0.25 km
Remember that:
[tex]Speed = \frac{distance}{time}[/tex] and [tex]time = \frac{distance}{speed}[/tex]
Therefore:
[tex]t=\frac{0.25\ km}{62\ \frac{km}{h}}\\\\t=0.00403\ h[/tex]
To convert this amount to seconds perform the following operation
[tex]0.00403\ h * \frac{60\ minutes}{1\ h}*\frac{60\ seconds}{1\ minute} =14.52\ second[/tex]
(b) How long (in seconds) will it take the car to move 0.25 km at this speed?
