Video Transcript
Determine the distance that a car
moving with a velocity of 153 kilometers per hour covers in one-quarter hours.
In this question, we are given the
velocity that a car is traveling at. And we want to calculate the
distance that it covers in a given time period. We recall that velocity is a vector
quantity and specifies both magnitude and direction, whereas speed is a scalar
quantity. In this question, both of these are
equal to 153 kilometers per hour. We also recall that the speed of an
object can be calculated by dividing the distance covered by the time taken. In this question, we want to
calculate the distance. So we can rewrite our formula as
distance is equal to speed multiplied by time.
We therefore need to multiply 153
kilometers per hour by one-quarter hours. Multiplying by a quarter is the
same as dividing by four. And 153 divided by four is
38.25. We can therefore conclude that the
car covers a distance of 38.25 kilometers in one-quarter hours.
An alternative method would be to
consider what a velocity of 153 kilometers per hour means. The car covers a distance of 153
kilometers in one hour. Assuming it is traveling with
constant velocity, we can calculate the distance it covers in half an hour by
multiplying 153 by one-half. This is the same as dividing 153 by
two, which gives us 76.5. The car covers a distance of 76.5
kilometers in half an hour. We can then half this again to
calculate the distance covered in a quarter of an hour. This confirms our answer of 38.25
kilometers.
