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Question

Phillips Bates

11/03/2024 · Primary School

A rocket traveled 100km at an average speed of 28440 km/h.

Work out how long it took the rocket to travel the 100 km. Give your answer in seconds, correct to the nearest second.

Answer
expertExpert-Verified Answer

Lowe Davies
Specialized Tutor
5.0 (42votes)

13 seconds

Solution

  1. Use the formula for time:
    \[\text { Time} = \frac { \text { Distance} } { \text { Speed} } \]
  2. Substitute the given values:
    \[\text { Time} = \frac { 100 \space \text { km} } { 28440 \space \text { km/h} } \]
  3. Calculate the time in hours:
    \[\text { Time} = \frac { 100} { 28440} \approx 0.003515 \space \text { hours} \]
  4. Convert hours to seconds:
    \[\text { Time in seconds} = 0.003515 \space \text { hours} \times 3600 \space \text { seconds/hour} \approx 12.654 \space \text { seconds} \]
  5. Round to the nearest second:
    \[\text { Time} \approx 13 \space \text { seconds} \]

 

Supplemental Knowledge

Calculating the time it takes for an object to travel a certain distance at a given speed is a fundamental concept in arithmetic and physics. The relationship between speed, distance, and time is expressed by the formula:
\[\text { Time} = \frac { \text { Distance} } { \text { Speed} } \]

Key Points:

  1. Distance (D):
    • The total length of the path traveled by the object.
  2. Speed (S):
    • The rate at which an object covers distance.
  3. Time (T):
    • The duration taken to cover the distance.
      To convert time from hours to seconds:
      \[1 \text { hour} = 3600 \text { seconds} \]

 

From Concepts to Reality

Imagine you are planning a road trip and need to know how long it will take at a certain speed to arrive at your destination. Calculating travel time helps with scheduling rest stops, estimating arrival times and making sure there is sufficient fuel.

 

Mastering calculations involving speed, distance, and time can greatly enhance your ability to plan trips efficiently and understand motion dynamics! At UpStudy, we offer specialized tools and resources designed to help you excel in mathematics and physics.
For precise calculations involving these concepts, try UpStudy’s Decimals calculator today!

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