High School

A driver accelerates her car from rest to a velocity of 35.9 mi/hr in 8.2 seconds. What is the acceleration of the car? State your result in MKS units.

Answer :

Final answer:

The acceleration of the car is determined using the formula a = (Vf - Vi) / t, where Vf is the final velocity, Vi is the initial velocity, and t is the time. Considering the values given, the acceleration comes out to be approximately 1.95 m/s².

Explanation:

The subject matter being discussed here pertains to acceleration, an important concept in physics. It's a measure of how quickly an object changes its velocity. In this scenario, the final velocity is 35.9 mi/hr (we have to convert it to m/s as asked to answer in MKS units, so approximately 16.03 m/s), and the car started at rest, so the initial velocity is 0 m/s. The time taken is 8.2 seconds.

The formula for acceleration is:

a = (Vf - Vi) / t

Where:

  • Vf is the final velocity,
  • Vi is the initial velocity, and
  • t is the time elapsed.

Plugging in your values gives us:

a = (16.03 m/s - 0 m/s) / 8.2 seconds = 1.95 m/s².

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