How to Calculate the Distance Traveled by a Speeding Car?

What is the data provided for calculating the distance traveled by a car?

Data for Calculating Distance Traveled:

A car accelerates uniformly from rest to 6.6 m/s in 3.5 seconds.

Calculating the distance traveled by a speeding car can be an exciting physics problem to solve. Using the provided data of initial velocity, final velocity, and time taken, we can determine the distance covered by the car during this acceleration period.

Calculating the Distance Traveled:

To find the distance the car traveled during this time, we can use the equation:

distance = (initial velocity * time) + (0.5 * acceleration * time^2)

Given that the car accelerates uniformly from rest to 6.6 m/s in 3.5 seconds, we can calculate acceleration by:

acceleration = (final velocity - initial velocity) / time

Plug in the values:

  • Initial velocity = 0 m/s
  • Final velocity = 6.6 m/s
  • Time = 3.5 seconds

Calculating the distance:

distance = (0 * 3.5) + (0.5 * ((6.6 - 0) / 3.5) * 3.5^2)

distance = 10.9 meters

Therefore, the exciting part of this problem is finding the distance the car traveled during its acceleration phase, which turns out to be 10.9 meters. It's amazing to see how physics principles can help us understand the motion of objects in real-life scenarios.

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