Maths-
General
Easy

Question


For part of a trip, a car traveled directly away from its starting point at a constant speed. The graph shows the car's distance from its starting point, in miles, for times from 2.0 hours to 2.5 hours after the start of the trip. What was the speed of the car, in miles per hour, during this part of the trip?

The correct answer is: 50


    We use the formula of the speed, i.e. text  speed  end text equals fraction numerator text  total distance covered  end text over denominator text  total time taken  end text end fraction
    Observe that it is told in the question that the car traveled directly away from its starting point at a constant speed.
    Explanations:
    Step 1 of 2:
    In the part of the trip, when the data was collected, the car was at 2.0 hours and till then it had covered 110 miles.
    Then the next reading was at 2.5 hours and till then the car had covered 135 miles (from the graph).
    Step 2 of 2:
    The total distance covered by the car = 135 – 110 = 25 miles.
    The total time taken to cover the distance = 2.5 - 2.0 = 0.5 hours.
    The speed of the car is given by, speed equals fraction numerator 25 over denominator 0.5 end fraction text  miles  end text divided by hr equals 25 cross times 2 equals 50 miles per hour.
    Final Answer:
    The speed of the car was 50 miles per hour.

    Distance divided by time is the formula for speed. Both meters per second (m/s) and kilometers per hour (km/hr) are used to measure speed.
    The amount of distance traveled at a given velocity is shown by a speed formula. The measurement of speed is the distance covered in a predetermined period. The car traveled directly away from its starting point at a constant speed can be determined by knowing the distance it traveled and the time it took. The time graph separation is a line graph that shows the results of the distance versus time analysis. It is easy to create a distance-time graph. To begin, take a piece of graph paper and draw two parallel lines that meet at the letter O. The X-axis is the horizontal line, and the Y-axis is the vertical line. A graphic that shows the distance traveled in a specified amount of time is known as a distance-time graph. In other words, it provides information regarding the vehicle's speed over a specific distance. The graph makes the numerical statistics for time and distance easier to interpret. The graph also shows how far the car has traveled at any given moment. Finding the changing speed at different distances can be done with the help of a distance-time graph.

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