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A race car accelerates uniformly from 7.5 m/s to 45 m/s over a distance of 90m. Determine the
acceleration of the car.


Sagot :

The acceleration of the car is 10.94 m/s².

 

Acceleration:

This is the rate of change of velocity. The S.I unit of acceleration is m/s²

Below is the formula for acceleration.

Formula:

  • v² = u²+2as..................... Equation 1

Where:

  • v = final velocity
  • u = initial velocity
  • a = acceleration
  • s = distance.

Make a the subject of the equation

  • a = (v²-u²)/2s................... Equation 2

From the question,

Given:

  • v = 45 m/s
  • u = 7.5 m/s
  • s = 90 m

Substitute these values into equation 2

  • a = (45²-7.5²)/(2×90)
  • a = (2025-56.25)/180
  • a = 10.94 m/s²

Hence, The acceleration of the car is 10.94 m/s²

Learn more about acceleration here: https://brainly.com/question/605631