Math Problem Statement

While travelling at 60 m/s along a motorway, the driver of the car shut his eyes for 5 seconds. Calculate the distance travelled by the car during this time.

Solution

To calculate the distance traveled by the car during the 5 seconds when the driver had his eyes shut, we can use the basic formula for distance:

Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}

Given:

  • Speed of the car = 60 m/s
  • Time = 5 seconds

Now, substitute these values into the formula:

Distance=60m/s×5seconds\text{Distance} = 60 \, \text{m/s} \times 5 \, \text{seconds}

Distance=300meters\text{Distance} = 300 \, \text{meters}

Thus, the car travels 300 meters while the driver has his eyes shut for 5 seconds.

Would you like any further details or clarification?

Here are 5 related questions:

  1. How would the distance change if the speed of the car were doubled?
  2. What factors could affect the car’s actual distance traveled during this time?
  3. How do we calculate stopping distance if the car was to come to a stop in the same time?
  4. How can we estimate the braking distance for a car traveling at high speeds?
  5. If the car increased its speed to 100 m/s, how much distance would it cover in 5 seconds?

Tip: Always ensure that units of speed and time are consistent when using the distance formula to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Basic Kinematics
Distance-Time Relationship

Formulas

Distance = Speed × Time

Theorems

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Suitable Grade Level

Grades 6-8