Mathematics
Grade6
Easy

Question

A skydiver falls 130 feet in 4 seconds. Determine the distance he falls in 9 seconds

  1. 250.2
  2. 300.2
  3. 312
  4. 292.5

Hint:

In this question, we are given the distance a skydiver falls in 4 seconds. It is 130 feet. Using this data, we are asked to find the distance a skydiver falls in 9 seconds given the rate is constant. We can try to find an equation using these quantities to get the value.

The correct answer is: 292.5


    The given values of distance and time are as follows:
    Distance = 130 feet
    Time = 4 seconds
    We have to find the speed at which the skydiver falls. As the given speed is constant, we can use this distance travelled in 9 seconds.
    We know the formula for speed.         
    S p e e d space equals fraction numerator D i s tan c e over denominator T i m e end fraction
    Substituting the values, we get
    S p e e d equals 130 over 4
    = 32.5 feet per sec.
    Now, as the rate or speed is constant, we can use this value to find the value of the distance the skydiver falls for any time interval.
    We have to find the distance travelled in 9 seconds.
    Let’s see the formula
    S p e e d space equals fraction numerator D i s tan c e over denominator T i m e end fraction
    Rearranging the formula to find distance. We will multiply both sides by time.
    Distance = Speed × Time
    = 32.5 × 9 seconds
    = 292.5
    Therefore, the distance a falls is 292.5 feet.
    So the option which is ‘292.5’, is the right option.

    We have to be careful about the units. Same quantities must have same unit.

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